Combinatorial Methods in Representation Theory

Abstract

Robinson-Schensted correspondence and left cells by S. Ariki Crystal bases for quantum superalgebras by G. Benkart and S.-J. Kang Approximation results for Kazhdan-Lusztig polynomials by F. Brenti Plane partitions II: $5\tfrac{1}{2}$ symmetry classes by M. Ciucu and C. Krattenthaler Invariants for representations of Weyl groups, two-sided cells, and modular representations of Iwahori-Hecke algebras by A. Gyoja, K. Nishiyama, and K. Taniguchi Finite crystals and paths by G. Hatayama, Y. Koga, A. Kuniba, M. Okado, and T. Takagi Minor summation formulas of Pfaffians, survey and a new identity by M. Ishikawa and M. Wakayama Factorization of Kazhdan-Lusztig elements for Grassmanians by A. Kirillov, Jr. and A. Lascoux Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials by B. Leclerc and J.-Y. Thibon A weight basis for representations of even orthogonal Lie algebras by A. I. Molev Schur's $Q$-functions and twisted affine Lie algebras by T. Nakajima and H.-F. Yamada Capelli elements in the classical universal enveloping algebras by M. Nazarov On permutation statistics and Hecke algebra characters by Y. Roichman Bosonic formula for level-restricted paths by A. Schilling and M. Shimozono Length functions for $G(r,p,n)$ by T. Shoji Representations of degenerate affine Hecke algebra and $\mathfrak{gl}_n$ by T. Suzuki A recursion formula of the weighted parabolic Kazhdan-Lusztig polynomials by H. Tagawa Special polynomials and generalized Painleve equations by Y. Yamada A duality of a twisted group algebra of the hyperoctahedral group and the queer Lie superalgebra by M. Yamaguchi.