Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras

DOI10.2977/prims/1195164438zbMath0835.05085OpenAlexW1970810572MaRDI QIDQ1897731

Jean-Yves Thibon, Gérard H. E. Duchamp, Bernard Leclerc, Thomas Scharf, Daniel Krob, Lascoux, Alain

Publication date: 19 March 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195164438

zbMATH Keywords

symmetric groupirreducible representationsquantum superalgebrasymmetry algebraEuler-Poincaré characteristicflat manifoldsquantum spin chainIwahori-Hecke algebrahook partitionsNewton divided differencesKazhdan-Lustig graphsYang- Baxter relations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Applications of linear algebraic groups to the sciences (20G45)

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Lefschetz Property, Schur–Weyl Duality and aq-Deformation of Specht polynomial, Spin-Ruijsenaars, \(\mathsf{q}\)-deformed Haldane-Shastry and Macdonald polynomials, Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\), Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties, On extremal permutations avoiding \(\omega_N=NN-1\dots 1\), Young's natural idempotents as polynomials, Hecke algebras, difference operators, and quasi-symmetric functions, Symmetric and nonsymmetric Macdonald polynomials, Hecke algebra actions on the coinvariant algebra, NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF U_q(gl_N), A summation formula for Macdonald polynomials

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