Representations and traces of the Hecke algebras H n(q) of type A n−1

DOI10.1063/1.529925zbMath0752.05058OpenAlexW2086399259MaRDI QIDQ3991677

Ronald C. King, Brian G. Wybourne

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529925

zbMATH Keywords

Schur functionsSpecht modulesirreducible characterssymmetric functionsirreducible representationsLittlewood-Richardson ruleHecke algebrasymmetric group algebraYoung operators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items (16)

Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements ⋮ Majorana parafermions ⋮ An algoritm for calculating characters of hecke algebrasH_n(q) of typeA_n-1whenqis a root of unity ⋮ Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras ⋮ Large \(N\) expansion of \(q\)-deformed two-dimensional Yang-Mills theory and Hecke algebras ⋮ A recursive rule for Kazhdan-Lusztig characters ⋮ Noncommutative symmetric functions. IV: Quantum linear groups and Hecke algebras at \(q=0\) ⋮ On irreducible characters of the Iwahori-Hecke algebra in type \(A\) ⋮ The fundamental invariant of the Hecke algebra Hn(q) characterizes the representations of Hn(q), S n, SUq(N), and SU(N) ⋮ Characters of Iwahori-Hecke algebras ⋮ Applications of the Frobenius formulas for the characters of the symmetric group and the Hecke algebras of type A ⋮ Bitraces for \(\text{GL}_n(\mathbb{F}_q)\) and the Iwahori-Hecke algebra of type \(A_{n-1}\) ⋮ Enumeration of \(m\)-tuples of permutations and a new class of power bases for the space of symmetric functions ⋮ The \(q\)-analogue of the alternating group and its representations. ⋮ Murnaghan-Nakayama rules for characters of Iwahori-Hecke algebras of classical type ⋮ Truncated homogeneous symmetric functions

Cites Work

• Littlewood-Richardson coefficients for Hecke algebras at roots of unity
• A characterization of supersymmetric polynomials
• Hecke algebra representations of braid groups and link polynomials
• Hecke algebras of type \(A_ n\) and subfactors
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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