Generating Functions for Hecke Algebra Characters

DOI10.4153/CJM-2010-082-7zbMath1215.15006OpenAlexW1995801162MaRDI QIDQ5392385

Matjaž Konvalinka, Mark Skandera

Publication date: 11 April 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2010-082-7

zbMATH Keywords

Hecke algebraquantum determinantMacMahon's Master TheoremMuir's identityquantum polynomial ringGoulden-Jackson identitiesinverse Kostka numbersLittlewood-Merris-Watkins identitiesquantum immanentquantum permanent

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (8)

Evaluations of Hecke algebra traces at Kazhdan-Lusztig basis elements ⋮ Generating functions for monomial characters of wreath products ℤ/dℤ≀ 𝕾_n ⋮ On quantum immanants and the cycle basis of the quantum permutation space ⋮ Total nonnegativity and induced sign characters of the Hecke algebra ⋮ Kazhdan–Lusztig immanants and products of matrix minors, II ⋮ Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra ⋮ Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra ⋮ Total nonnegativity and evaluations of Hecke algebra characters

This page was built for publication: Generating Functions for Hecke Algebra Characters