The Markov traces and the Fourier transforms.

DOI10.1016/j.jalgebra.2005.09.034zbMath1175.20005OpenAlexW2014398024MaRDI QIDQ2509271

Yasushi Gomi

Publication date: 19 October 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.09.034

zbMATH Keywords

weightsFourier transformMarkov tracesCoxeter groupssymmetric algebrasIwahori-Hecke algebrastrace functionsexterior algebrasMolien seriesreflection representationsfake degrees

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Khovanov-Rozansky homology and 2-braid groups ⋮ The geometry of Markov traces. ⋮ ON THE MARKOV TRACE FOR TEMPERLEY–LIEB ALGEBRAS OF TYPE E_n

Uses Software

• CHEVIE

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• Irreducible representations of finite classical groups
• Invariants for representations of Weyl groups and two-sided cells
• Exotic Fourier transform
• Appendix: An exotic Fourier transform over \(H_ 4\)
• CHEVIE -- A system for computing and processing generic character tables
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Unipotent Characters of the Even Orthogonal Groups over a Finite Field
• Invariants of Finite Reflection Groups
• Markov traces and generic degrees in type \(B_n\).
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