Kailash Chandra Misra

Works (52)

Updated: April 4th, 2024 21:11

2023 article

Multiplicities of maximal weights of the sℓ (n)-module V (kΛ0)

Jayne, R. L., & Misra, K. C. (2023, November 10). JOURNAL OF ALGEBRA AND ITS APPLICATIONS.

By: R. Jayne* & K. Misra n

author keywords: Affine Lie algebra; integrable representation; crystal base; Young tableau; avoiding permutation
Source: Web Of Science
Added: December 18, 2023

2022 journal article

Multiplicities of Some Maximal Dominant Weights of the (sl)over-cap(n)-Modules V (k Lambda(0))

ALGEBRAS AND REPRESENTATION THEORY, 25(2), 477–490.

By: R. Jayne* & K. Misra n

author keywords: Affine Lie algebra; Crystal base; Lattice path; Young tableau; Pattern-avoiding permutation
Source: Web Of Science
Added: March 15, 2021

2022 journal article

On Smith normal forms of q-Varchenko matrices

ALGEBRA AND DISCRETE MATHEMATICS, 34(2), 187–222.

By: N. Boulware*, N. Jing n & K. Misra n

author keywords: Smith normal forms; hyperplane arrangements; Platonic solids; Varchenko matrices
Sources: Web Of Science, ORCID
Added: April 11, 2023

2021 journal article

Fermionic realization of twisted toroidal Lie algebras

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(08).

By: N. Jing n, C. Mangum* & K. Misra n

author keywords: Lie algebras; toroidal Lie algebras; Dynkin diagram automorphisms; fermionic realization
Sources: Web Of Science, ORCID
Added: July 11, 2020

2021 journal article

Subinvariance in Leibniz algebras

JOURNAL OF ALGEBRA, 567, 128–138.

By: K. Misra n, E. Stitzinger n & X. Yu n

author keywords: Leibniz algebra; Subinvariant subalgebras; Radical and nilradical
Sources: Web Of Science, ORCID
Added: September 29, 2020

2020 journal article

-geometric crystal at the spin node

COMMUNICATIONS IN ALGEBRA, 48(8), 3382–3397.

By: K. Misra n & S. Pongprasert*

co-author countries: Thailand 🇹🇭
author keywords: Affine algebra; geometric crystal; Primary; Secondary
Source: Web Of Science
Added: April 20, 2020

2020 journal article

Complete Leibniz algebras

JOURNAL OF ALGEBRA, 557, 172–180.

By: K. Boyle*, K. Misra n & E. Stitzinger n

author keywords: Leibniz algebra; Derivations; Characteristic ideals; Completeness
Sources: Web Of Science, ORCID
Added: May 26, 2020

2019 journal article

D-5((1))-Geometric crystal corresponding to the Dynkin spin node i=5 and its ultra-discretization

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 18(12).

By: M. Igarashi*, K. Misra n & S. Pongprasert n

co-author countries: Japan 🇯🇵
author keywords: Affine algebras; geometric crystal; crystal base; perfect crystal
Source: Web Of Science
Added: November 25, 2019

2018 journal article

Affine geometric crystal of An(1) and limit of Kirillov–Reshetikhin perfect crystals

Journal of Algebra, 507, 249–291.

By: K. Misra* & T. Nakashima

author keywords: Geometric crystal; Crystal base; Perfect crystal; Kirillov-Reshetikhin crystal; Ultra-discretization; Tropicalization; Affine Weyl group
Source: Crossref
Added: February 10, 2021

2018 journal article

Criteria for solvability and supersolvability in Leibniz algebras

COMMUNICATIONS IN ALGEBRA, 46(5), 2083–2088.

By: K. Misra n, E. Stitzinger n & B. Turner n

author keywords: Leibniz algebra; solvable; subalgebras; supersolvable
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Lattice Paths, Young Tableaux, and Weight Multiplicities

Annals of Combinatorics, 22(1), 147–156.

By: R. Jayne* & K. Misra n

author keywords: lattice path; Young tableau; avoiding permutation; affine Lie algebra; weight multiplicity
Source: Crossref
Added: February 24, 2020

2017 journal article

Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases

JOURNAL OF ALGEBRA, 481, 12–35.

By: B. Cox*, V. Futorny* & K. Misra n

co-author countries: Brazil 🇧🇷
author keywords: Quantum affine algebras; Imaginary Verma modules; Kashiwara algebras; Crystal bases
Source: Web Of Science
Added: August 6, 2018

2017 journal article

ON PRINCIPAL REALIZATION OF MODULES FOR THE AFFINE LIE ALGEBRA A(1)((1)) AT THE CRITICAL LEVEL

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369(7), 5113–5136.

By: D. Adamovic, N. Jing & K. Misra

author keywords: Vertex superalgebras; affine Lie algebras; Clifford algebras; Weyl algebra; lattice vertex operator algebras; critical level; Z-algebras
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

On classification of four-dimensional nilpotent Leibniz algebras

COMMUNICATIONS IN ALGEBRA, 45(3), 1012–1018.

By: I. Demir n, K. Misra n & E. Stitzinger n

author keywords: Classification; Leibniz algebra; nilpotency; solvability
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Classification of Some Solvable Leibniz Algebras

ALGEBRAS AND REPRESENTATION THEORY, 19(2), 405–417.

By: I. Demir n, K. Misra n & E. Stitzinger n

author keywords: Leibniz algebra; Solvability; Nilpotency; Classification
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Root Multiplicities of the Indefinite Kac-Moody Algebra HDn(1)

COMMUNICATIONS IN ALGEBRA, 44(4), 1599–1614.

By: K. Misra & E. Wilson*

author keywords: Crystal bases; Kac-Moody algebras; Quantum groups
Source: Web Of Science
Added: August 6, 2018

2015 journal article

An imaginary PBW basis for quantum affine algebras of type 1

JOURNAL OF PURE AND APPLIED ALGEBRA, 219(1), 83–100.

By: B. Cox*, V. Futorny* & K. Misra n

co-author countries: Brazil 🇧🇷
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap)

Journal of Algebra, 424, 390–415.

By: B. Cox, V. Futorny & K. Misra

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

Imaginary Verma modules and Kashiwara algebras for Uq(gˆ)

Journal of Algebra, 424, 390–415.

By: B. Cox*, V. Futorny* & K. Misra n

co-author countries: Brazil 🇧🇷
author keywords: Quantum affine algebras; Imaginary Verma modules; Kashiwara algebras; Simple modules
Source: Crossref
Added: January 24, 2021

2015 journal article

On nilpotent Lie algebras of small breadth

JOURNAL OF ALGEBRA, 444, 328–338.

By: B. Khuhirun n, K. Misra n & E. Stitzinger n

author keywords: Lie algebra; Nilpotent; Breadth; Classification
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

On Multiplicities of Maximal Weights of -Modules

ALGEBRAS AND REPRESENTATION THEORY, 17(4), 1303–1321.

By: R. Jayne* & K. Misra n

author keywords: Affine Lie algebras; Representations; Maximal weights; Crystal base; Lattice paths; Avoiding permutations
Source: Web Of Science
Added: August 6, 2018

2014 journal article

REALIZATION OF (sl)over-cap(2)(C) AT THE CRITICAL LEVEL

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2).

By: J. Dunbar*, N. Jing n & K. Misra n

Contributors: J. Dunbar*, N. Jing n & K. Misra n

author keywords: Affine Lie algebras; critical level; bosons; parafermions
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 conference paper

Tensor product decomposition of (sl)over-cap(n) modules and identities

Ramanujan 125, 627, 131–144.

By: K. Misra & E. Wilson

Source: NC State University Libraries
Added: August 6, 2018

2013 chapter

An(1)-Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization

In K. Iohara, S. Morier-Genoud, & B. Remy (Eds.), Symmetries, Integrable Systems and Representations (pp. 297–318).

By: K. Misra n & T. Nakashima*

co-author countries: Japan 🇯🇵

Ed(s): K. Iohara, S. Morier-Genoud & B. Remy

Source: Crossref
Added: February 12, 2021

2013 journal article

ON TENSOR PRODUCT DECOMPOSITION OF (sl)over-cap(n) MODULES

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 12(8).

By: K. Misra n & E. Wilson*

co-author countries: Brazil 🇧🇷
author keywords: Affine Lie algebra; integrable module; crystal base; tensor product
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Soliton cellular automaton associated with D-n((1))-crystal B-2,B-s

JOURNAL OF MATHEMATICAL PHYSICS, 54(4).

By: K. Misra n & E. Wilson n

co-author countries: Brazil 🇧🇷
Source: Web Of Science
Added: August 6, 2018

2012 article

Demazure Crystals and Extended Young Diagrams

Beier, J. C., & Misra, K. C. (2012, June). ALGEBRA COLLOQUIUM, Vol. 19, pp. 293–304.

By: J. Beier* & K. Misra n

author keywords: quantum affine algebra; extended Young diagrams; Demazure modules
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Soliton cellular automaton associated with G(2)((1)) crystal base

JOURNAL OF MATHEMATICAL PHYSICS, 53(1).

By: K. Misra n, M. Okado* & E. Wilson n

co-author countries: Japan 🇯🇵
Source: Web Of Science
Added: August 6, 2018

2012 journal article

ULTRA-DISCRETIZATION OF THE D(4)((3)-)GEOMETRIC CRYSTAL TO THE G(2)((1))-PERFECT CRYSTALS

PACIFIC JOURNAL OF MATHEMATICS, 255(1), 117–142.

By: M. Igarashi, K. Misra* & T. Nakashima

author keywords: geometric crystals; perfect crystals; ultra-discretization
Source: Web Of Science
Added: August 6, 2018

2011 journal article

ON DEMAZURE CRYSTALS FOR Uq(G(2)((1)))

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(7), 2343–2356.

By: R. Jayne n & K. Misra n

Source: Web Of Science
Added: August 6, 2018

2010 journal article

Fermionic realization of toroidal Lie algebras of classical types

JOURNAL OF ALGEBRA, 324(2), 183–194.

By: N. Jing n & K. Misra n

co-author countries: China 🇨🇳

Contributors: N. Jing n & K. Misra n

author keywords: Clifford algebras; Vertex operators; Toroidal Lie algebras
Sources: Web Of Science, ORCID
Added: August 6, 2018

2010 journal article

Zero Action on Perfect Crystals for Uq(G(2)((1)))

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 6.

By: K. Misra*, M. Mohamad & M. Okado

author keywords: combinatorial representation theory; quantum affine algebra; crystal bases
Source: Web Of Science
Added: August 6, 2018

2009 journal article

BOSONIC REALIZATION OF TOROIDAL LIE ALGEBRAS OF CLASSICAL TYPES

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(11), 3609–3618.

By: N. Jing n, K. Misra n & C. Xu*

co-author countries: China 🇨🇳

Contributors: N. Jing n, K. Misra n & C. Xu*

author keywords: Toroidal algebras; Weyl algebras; vertex operators; representations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

Root multiplicities of the indefinite Kac-Moody algebras of symplectic type

COMMUNICATIONS IN ALGEBRA, 36(2), 764–782.

By: V. Klima* & K. Misra n

author keywords: crystal bases; Kac-Moody algebras; root multiplicities
Source: Web Of Science
Added: August 6, 2018

2007 journal article

A recurrence relation for characters of highest weight integrable modules for affine Lie algebras

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 9(2), 121–133.

By: W. Cook*, H. Li* & K. Misra n

author keywords: affine Lie algebras; vertex operator algebras; highest weight representations; recurrence relations
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Perfect crystals for U-q (D-4((3)))

JOURNAL OF ALGEBRA, 317(1), 392–423.

By: M. Kashiwara*, K. Misra n, M. Okado* & D. Yamada*

co-author countries: Japan 🇯🇵
author keywords: combinatorial representation theory; quantum affine algebra; crystal bases
Source: Web Of Science
Added: August 6, 2018

2004 journal article

On the nilpotency of certain subalgebras of Kac-Moody Lie algebras

Journal of Lie Theory, 14(1), 23-.

By: Y. Kim, K. Misra & E. Stitzinger

Source: NC State University Libraries
Added: August 6, 2018

2002 journal article

On root multiplicities of HA(n)((1))

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 12(3), 477–508.

By: J. Hontz* & K. Misra n

author keywords: Kac-Moody algebras; root multiplicities; Kostka numbers
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Root multiplicities of the indefinite Kac-Moody Lie algebras HD4(3) and HG(2)((1))

COMMUNICATIONS IN ALGEBRA, 30(6), 2941–2959.

By: J. Hontz* & K. Misra n

Source: Web Of Science
Added: August 6, 2018

2001 journal article

BRST resolution for the principally graded Wakimoto module of (sl)over-cap(2)

LETTERS IN MATHEMATICAL PHYSICS, 58(3), 181–188.

By: Y. Hara n, N. Jing n & K. Misra n

Contributors: Y. Hara n, N. Jing n & K. Misra n

author keywords: affine Lie algebra; Wakimoto module
Sources: Web Of Science, ORCID
Added: August 6, 2018

2001 journal article

On multi-color partitions and the generalized Rogers-Ramanujan identities

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 3(4), 533–548.

By: N. Jing n, K. Misra n & C. Savage n

Sources: Web Of Science, ORCID
Added: August 6, 2018

2001 journal article

The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras A(r)((1))

COMPOSITIO MATHEMATICA, 126(1), 91–111.

By: G. Benkart*, S. Kang*, H. Lee*, K. Misra n & D. Shin*

co-author countries: Korea (Republic of) 🇰🇷
author keywords: affine Kac-Moody algebra; highest weight representations; weight multiplicities
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Paths, Demazure crystals, and symmetric functions

JOURNAL OF MATHEMATICAL PHYSICS, 41(9), 6477–6486.

By: A. Kuniba*, K. Misra n, M. Okado*, T. Takagi & J. Uchiyama*

co-author countries: Japan 🇯🇵
Source: Web Of Science
Added: August 6, 2018

2000 journal article

q-wedge modules for quantized enveloping algebras of classical type

JOURNAL OF ALGEBRA, 230(2), 518–539.

By: N. Jing n, K. Misra n & M. Okado*

co-author countries: Japan 🇯🇵
Source: Web Of Science
Added: August 6, 2018

1999 book

Recent developments in quantum affine algebras and related topics: Representations of affine and quantum affine algebras and their applications, North Carolina State University, May 21-24, 1998 / Naihuan Jing, Kailash C. Misra, editors

By: N. Jing* & K. Misra*

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

1999 journal article

Vertex operators for twisted quantum affine algebras

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 351(4), 1663–1690.

By: N. Jing n & K. Misra n

author keywords: quantum affine algebras; q-vertex operators
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Bosonic realizations of U-q(C-n((1)))

JOURNAL OF ALGEBRA, 200(1), 155–172.

By: N. Jing n, Y. Koyama n & K. Misra n

Contributors: N. Jing n, Y. Koyama n & K. Misra n

Sources: Web Of Science, ORCID
Added: August 6, 2018

1998 journal article

Characters of Demazure modules and solvable lattice models

Nuclear Physics. B, 510(3), 555–576.

By: A. Kuniba*, K. Misra n, M. Okado*, T. Takagi & J. Uchiyama*

co-author countries: Japan 🇯🇵
Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

Crystals for Demazure modules of classical affine Lie algebras

Journal of Algebra, 208(1), 185–215.

By: A. Kaniba, K. Misra n, M. Okado*, T. Takagi & J. Uchiyama*

co-author countries: Japan 🇯🇵
Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

Demazure modules and perfect crystals

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 192(3), 555–567.

By: A. Kuniba*, K. Misra n, M. Okado* & J. Uchiyama*

co-author countries: Australia 🇦🇺 Japan 🇯🇵
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Demazure modules and vertex models: The (sl)over-cap(2) case

JOURNAL OF MATHEMATICAL PHYSICS, 39(3), 1601–1622.

By: O. Foda*, K. Misra n & M. Okado*

co-author countries: Japan 🇯🇵 Netherlands 🇳🇱
Source: Web Of Science
Added: August 6, 2018

1987 journal article

Basic representations of some affine Lie algebras and generalized Euler identities

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 42(3), 296–311.

By: K. Misra n

Source: Crossref
Added: January 24, 2021

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