Kailash Misra

Jayne, R. L., & Misra, K. C. (2023, November 10). Multiplicities of maximal weights of the sℓ (n)-module V (kΛ0). JOURNAL OF ALGEBRA AND ITS APPLICATIONS. https://doi.org/10.1142/S0219498825500987

Jayne, R. L., & Misra, K. C. (2022). 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. https://doi.org/10.1007/s10468-021-10031-3

Boulware, N., Jing, N., & Misra, K. C. (2022). On Smith normal forms of q-Varchenko matrices. ALGEBRA AND DISCRETE MATHEMATICS, 34(2), 187–222. https://doi.org/10.12958/adm2006

Jing, N., Mangum, C. R., & Misra, K. C. (2021). Fermionic realization of twisted toroidal Lie algebras. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 20(08). https://doi.org/10.1142/S0219498821501437

Misra, K. C., Stitzinger, E., & Yu, X. (2021). Subinvariance in Leibniz algebras. JOURNAL OF ALGEBRA, 567, 128–138. https://doi.org/10.1016/j.jalgebra.2020.09.031

Misra, K. C., & Pongprasert, S. (2020). -geometric crystal at the spin node. COMMUNICATIONS IN ALGEBRA, 48(8), 3382–3397. https://doi.org/10.1080/00927872.2020.1737872

Boyle, K., Misra, K. C., & Stitzinger, E. (2020). Complete Leibniz algebras. JOURNAL OF ALGEBRA, 557, 172–180. https://doi.org/10.1016/j.jalgebra.2020.04.016

Igarashi, M., Misra, K. C., & Pongprasert, S. (2019). 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). https://doi.org/10.1142/S021949881950227X

Misra, K. C., & Nakashima, T. (2018). Affine geometric crystal of An(1)  and limit of Kirillov–Reshetikhin perfect crystals. Journal of Algebra, 507, 249–291. https://doi.org/10.1016/J.JALGEBRA.2018.03.041

Misra, K. C., Stitzinger, E., & Turner, B. (2018). Criteria for solvability and supersolvability in Leibniz algebras. COMMUNICATIONS IN ALGEBRA, 46(5), 2083–2088. https://doi.org/10.1080/00927872.2017.1372455

Jayne, R. L., & Misra, K. C. (2018). Lattice Paths, Young Tableaux, and Weight Multiplicities. Annals of Combinatorics, 22(1), 147–156. https://doi.org/10.1007/S00026-018-0374-4

Cox, B., Futorny, V., & Misra, K. C. (2017). Imaginary Verma modules for U-q<((sl(2)))over cap> and crystal-like bases. JOURNAL OF ALGEBRA, 481, 12–35. https://doi.org/10.1016/j.jalgebra.2017.02.017

Adamovic, D., Jing, N., & Misra, K. C. (2017). 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. https://doi.org/10.1090/tran/7009

Demir, I., Misra, K. C., & Stitzinger, E. (2017). On classification of four-dimensional nilpotent Leibniz algebras. COMMUNICATIONS IN ALGEBRA, 45(3), 1012–1018. https://doi.org/10.1080/00927872.2016.1172626

Demir, I., Misra, K. C., & Stitzinger, E. (2016). Classification of Some Solvable Leibniz Algebras. ALGEBRAS AND REPRESENTATION THEORY, 19(2), 405–417. https://doi.org/10.1007/s10468-015-9580-5

Misra, K. C., & Wilson, E. A. (2016). Root Multiplicities of the Indefinite Kac-Moody Algebra HDn(1). COMMUNICATIONS IN ALGEBRA, 44(4), 1599–1614. https://doi.org/10.1080/00927872.2015.1027369

Cox, B., Futorny, V., & Misra, K. C. (2015). An imaginary PBW basis for quantum affine algebras of type 1. JOURNAL OF PURE AND APPLIED ALGEBRA, 219(1), 83–100. https://doi.org/10.1016/j.jpaa.2014.04.011

Cox, B., Futorny, V., & Misra, K. C. (2015). Imaginary Verma modules and Kashiwara algebras for U-q((g)over-cap). Journal of Algebra, 424, 390–415.

Cox, B., Futorny, V., & Misra, K. C. (2015). Imaginary Verma modules and Kashiwara algebras for Uq(gˆ). Journal of Algebra, 424, 390–415. https://doi.org/10.1016/J.JALGEBRA.2014.09.025

Khuhirun, B., Misra, K. C., & Stitzinger, E. (2015). On nilpotent Lie algebras of small breadth. JOURNAL OF ALGEBRA, 444, 328–338. https://doi.org/10.1016/j.jalgebra.2015.07.036

Jayne, R. L., & Misra, K. C. (2014). On Multiplicities of Maximal Weights of -Modules. ALGEBRAS AND REPRESENTATION THEORY, 17(4), 1303–1321. https://doi.org/10.1007/s10468-014-9470-2

Dunbar, J., Jing, N., & Misra, K. C. (2014). REALIZATION OF (sl)over-cap(2)(C) AT THE CRITICAL LEVEL. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 16(2). https://doi.org/10.1142/s0219199714500060

Misra, K. C., & Wilson, E. A. (2014). Tensor product decomposition of (sl)over-cap(n) modules and identities. Ramanujan 125, 627, 131–144.

Misra, K. C., & Nakashima, T. (2013). 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). https://doi.org/10.1007/978-1-4471-4863-0_12

Misra, K. C., & Wilson, E. A. (2013). ON TENSOR PRODUCT DECOMPOSITION OF (sl)over-cap(n) MODULES. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 12(8). https://doi.org/10.1142/s0219498813500540

Misra, K. C., & Wilson, E. A. (2013). Soliton cellular automaton associated with D-n((1))-crystal B-2,B-s. JOURNAL OF MATHEMATICAL PHYSICS, 54(4). https://doi.org/10.1063/1.4801448

Beier, J. C., & Misra, K. C. (2012, June). Demazure Crystals and Extended Young Diagrams. ALGEBRA COLLOQUIUM, Vol. 19, pp. 293–304. https://doi.org/10.1142/s1005386712000193

Misra, K. C., Okado, M., & Wilson, E. A. (2012). Soliton cellular automaton associated with G(2)((1)) crystal base. JOURNAL OF MATHEMATICAL PHYSICS, 53(1). https://doi.org/10.1063/1.3673541

Igarashi, M., Misra, K. C., & Nakashima, T. (2012). ULTRA-DISCRETIZATION OF THE D(4)((3)-)GEOMETRIC CRYSTAL TO THE G(2)((1))-PERFECT CRYSTALS. PACIFIC JOURNAL OF MATHEMATICS, 255(1), 117–142. https://doi.org/10.2140/pjm.2012.255.117

Jayne, R. L., & Misra, K. C. (2011). ON DEMAZURE CRYSTALS FOR Uq(G(2)((1))). PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 139(7), 2343–2356. https://doi.org/10.1090/s0002-9939-2010-10663-9

Jing, N., & Misra, K. C. (2010). Fermionic realization of toroidal Lie algebras of classical types. JOURNAL OF ALGEBRA, 324(2), 183–194. https://doi.org/10.1016/j.jalgebra.2010.03.021

Misra, K. C., Mohamad, M., & Okado, M. (2010). Zero Action on Perfect Crystals for Uq(G(2)((1))). SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 6. https://doi.org/10.3842/sigma.2010.022

Jing, N., Misra, K. C., & Xu, C. (2009). BOSONIC REALIZATION OF TOROIDAL LIE ALGEBRAS OF CLASSICAL TYPES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 137(11), 3609–3618. https://doi.org/10.1090/S0002-9939-09-09942-0

Klima, V. W., & Misra, K. C. (2008). Root multiplicities of the indefinite Kac-Moody algebras of symplectic type. COMMUNICATIONS IN ALGEBRA, 36(2), 764–782. https://doi.org/10.1080/00927870701724367

Cook, W. J., Li, H., & Misra, K. C. (2007). A recurrence relation for characters of highest weight integrable modules for affine Lie algebras. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 9(2), 121–133. https://doi.org/10.1142/S0219199707002368

Kashiwara, M., Misra, K. C., Okado, M., & Yamada, D. (2007). Perfect crystals for U-q (D-4((3))). JOURNAL OF ALGEBRA, 317(1), 392–423. https://doi.org/10.1016/j.jalgebra.2007.02.021

Kim, Y., Misra, K. C., & Stitzinger, E. (2004). On the nilpotency of certain subalgebras of Kac-Moody Lie algebras. Journal of Lie Theory, 14(1), 23-.

Hontz, J., & Misra, K. C. (2002). On root multiplicities of HA(n)((1)). INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 12(3), 477–508. https://doi.org/10.1142/S0218196702000730

Hontz, J., & Misra, K. C. (2002). Root multiplicities of the indefinite Kac-Moody Lie algebras HD4(3) and HG(2)((1)). COMMUNICATIONS IN ALGEBRA, 30(6), 2941–2959. https://doi.org/10.1081/AGB-120004000

Hara, Y., Jing, N. H., & Misra, K. (2001). BRST resolution for the principally graded Wakimoto module of (sl)over-cap(2). LETTERS IN MATHEMATICAL PHYSICS, 58(3), 181–188. https://doi.org/10.1023/A:1014559525117

Jing, N. H., Misra, K. C., & Savage, C. D. (2001). On multi-color partitions and the generalized Rogers-Ramanujan identities. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 3(4), 533–548. https://doi.org/10.1142/S0219199701000482

Benkart, G., Kang, S. J., Lee, H., Misra, K. C., & Shin, D. U. (2001). The polynomial behavior of weight multiplicities for the affine Kac-Moody algebras A(r)((1)). COMPOSITIO MATHEMATICA, 126(1), 91–111. https://doi.org/10.1023/A:1017584131106

Kuniba, A., Misra, K. C., Okado, M., Takagi, T., & Uchiyama, J. (2000). Paths, Demazure crystals, and symmetric functions. JOURNAL OF MATHEMATICAL PHYSICS, 41(9), 6477–6486. https://doi.org/10.1063/1.1286284

Jing, N. H., Misra, K. C., & Okado, M. (2000). q-wedge modules for quantized enveloping algebras of classical type. JOURNAL OF ALGEBRA, 230(2), 518–539. https://doi.org/10.1006/jabr.2000.8325

Jing, N., & Misra, K. C. (1999). 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. https://doi.org/10.1090/conm/248

Jing, N. H., & Misra, K. C. (1999). Vertex operators for twisted quantum affine algebras. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 351(4), 1663–1690. https://doi.org/10.1090/S0002-9947-99-02098-X

Jing, N. H., Koyama, Y., & Misra, K. C. (1998). Bosonic realizations of U-q(C-n((1))). JOURNAL OF ALGEBRA, 200(1), 155–172. https://doi.org/10.1006/jabr.1997.7227

Kuniba, A., Misra, K. C., Okado, M., Takagi, T., & Uchiyama, J. (1998). Characters of Demazure modules and solvable lattice models. Nuclear Physics. B, 510(3), 555–576. https://doi.org/10.1016/s0550-3213(97)00685-8

Kaniba, A., Misra, K. C., Okado, M., Takagi, T., & Uchiyama, J. (1998). Crystals for Demazure modules of classical affine Lie algebras. Journal of Algebra, 208(1), 185–215. https://doi.org/10.1006/jabr.1998.7503

Kuniba, A., Misra, K. C., Okado, M., & Uchiyama, J. (1998). Demazure modules and perfect crystals. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 192(3), 555–567. https://doi.org/10.1007/s002200050309

Foda, O., Misra, K. C., & Okado, M. (1998). Demazure modules and vertex models: The (sl)over-cap(2) case. JOURNAL OF MATHEMATICAL PHYSICS, 39(3), 1601–1622. https://doi.org/10.1063/1.532402

Misra, K. C. (1987). 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. https://doi.org/10.1017/S1446788700028585