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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.
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.
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.
author keywords: Smith normal forms; hyperplane arrangements; Platonic solids; Varchenko matrices
admjournal.luguniv.edu.ua (publisher PDF)
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).
author keywords: Lie algebras; toroidal Lie algebras; Dynkin diagram automorphisms; fermionic realization
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
Sources: Web Of Science, ORCID
Added: July 11, 2020
2021 journal article
Subinvariance in Leibniz algebras
JOURNAL OF ALGEBRA, 567, 128–138.
author keywords: Leibniz algebra; Subinvariant subalgebras; Radical and nilradical
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
author keywords: Leibniz algebra; Derivations; Characteristic ideals; Completeness
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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).
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.
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.
author keywords: Leibniz algebra; solvable; subalgebras; supersolvable
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
author keywords: Quantum affine algebras; Imaginary Verma modules; Kashiwara algebras; Crystal bases
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
author keywords: Classification; Leibniz algebra; nilpotency; solvability
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
author keywords: Leibniz algebra; Solvability; Nilpotency; Classification
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
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.
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.
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.
author keywords: Lie algebra; Nilpotent; Breadth; Classification
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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).
Contributors: J. Dunbar*, N. Jing n & 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.
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).
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).
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).
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.
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).
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.
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.
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.
Contributors: N. Jing n & n
author keywords: Clifford algebras; Vertex operators; Toroidal Lie algebras
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
author keywords: Toroidal algebras; Weyl algebras; vertex operators; representations
UN Sustainable Development Goal Categories
14. Life Below Water
(Web of Science)
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.
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.
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.
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-.
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.
author keywords: Kac-Moody algebras; root multiplicities; Kostka numbers
TL;DR:
The root multiplicities of the Kac–Moody Lie algebra of indefinite type are determined using a recursive root multiplicity formula due to Kang using the combinatorics of the irreducible representations of the subalgebra.
(via Semantic Scholar)
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.
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.
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.
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.
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.
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.
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
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.
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.
Contributors: N. Jing n , Y. Koyama n & 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.
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.
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.
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.
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.
Source: Crossref
Added: January 24, 2021
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