Kailash Chandra Misra

<i>D</i>₇<SUP>(1)</SUP> - Geometric Crystal at the Spin Node

Misra, K. C., Nakashima, T., & Pongprasert, S. (2025, March 12). ALGEBRAS AND REPRESENTATION THEORY.

Superior monogamy and polygamy relations and estimates of concurrence

EUROPEAN PHYSICAL JOURNAL PLUS, 140(2).

Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

JOURNAL OF ALGEBRA, 655, 3–28.

On derivations of Leibniz algebras

ELECTRONIC RESEARCH ARCHIVE, 32(7), 4715–4722.

Subinvariance and ascendancy in Leibniz Algebras

Groves, E., Misra, K. C., & Stitzinger, E. (2024, August 9). COMMUNICATIONS IN ALGEBRA, Vol. 8.

Tighter parameterized monogamy relations

QUANTUM INFORMATION PROCESSING, 23(8).

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.

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.

On Smith normal forms of q-Varchenko matrices

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

Fermionic realization of twisted toroidal Lie algebras

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

Subinvariance in Leibniz algebras

JOURNAL OF ALGEBRA, 567, 128–138.

-geometric crystal at the spin node

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

Complete Leibniz algebras

JOURNAL OF ALGEBRA, 557, 172–180.

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).

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

Journal of Algebra, 507, 249–291.

Criteria for solvability and supersolvability in Leibniz algebras

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

Lattice Paths, Young Tableaux, and Weight Multiplicities

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

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

JOURNAL OF ALGEBRA, 481, 12–35.

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.

On classification of four-dimensional nilpotent Leibniz algebras

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

Classification of Some Solvable Leibniz Algebras

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

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

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

An imaginary PBW basis for quantum affine algebras of type 1

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

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

Journal of Algebra, 424, 390–415.

Imaginary Verma modules and Kashiwara algebras for Uq(gˆ)

Journal of Algebra, 424, 390–415.

On nilpotent Lie algebras of small breadth

JOURNAL OF ALGEBRA, 444, 328–338.

On Multiplicities of Maximal Weights of -Modules

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

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

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2).

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

Ramanujan 125, 627, 131–144.

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).

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

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

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

JOURNAL OF MATHEMATICAL PHYSICS, 54(4).

Demazure Crystals and Extended Young Diagrams

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

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

JOURNAL OF MATHEMATICAL PHYSICS, 53(1).

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

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

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

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

Fermionic realization of toroidal Lie algebras of classical types

JOURNAL OF ALGEBRA, 324(2), 183–194.

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

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 6.

BOSONIC REALIZATION OF TOROIDAL LIE ALGEBRAS OF CLASSICAL TYPES

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

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

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

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

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

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

JOURNAL OF ALGEBRA, 317(1), 392–423.

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

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

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

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

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

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

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

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

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

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

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

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

Paths, Demazure crystals, and symmetric functions

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

q-wedge modules for quantized enveloping algebras of classical type

JOURNAL OF ALGEBRA, 230(2), 518–539.

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

Vertex operators for twisted quantum affine algebras

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

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

JOURNAL OF ALGEBRA, 200(1), 155–172.

Characters of Demazure modules and solvable lattice models

Nuclear Physics. B, 510(3), 555–576.

Crystals for Demazure modules of classical affine Lie algebras

Journal of Algebra, 208(1), 185–215.

Demazure modules and perfect crystals

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

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

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

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.