A skein-like multiplication algorithm for unipotent Hecke algebras

DOI10.1090/S0002-9947-06-04052-9zbMath1151.20005MaRDI QIDQ3420377

Nathaniel Thiem

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groups of Lie typeGelfand-Graev representationsGelfand-Graev Hecke algebrasunipotent Hecke algebrasYokonuma Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite groups of Lie type (20C33)

Related Items (7)

An isomorphism theorem for Yokonuma-Hecke algebras and applications to link invariants ⋮ Cyclotomic Yokonuma-Hecke algebras are cyclotomic quiver Hecke algebras ⋮ Defect in cyclotomic Hecke algebras ⋮ Representation theory of the Yokonuma-Hecke algebra. ⋮ Representation theory and an isomorphism theorem for the framisation of the Temperley-Lieb algebra ⋮ Unipotent Hecke algebras of \(\text{GL}_n(\mathbb{F}_q)\). ⋮ Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra.

Cites Work

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• Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
• Unitary Kloosterman sums and the Gelfand-Graev representation of \(GL_2\)
• A super-class walk on upper-triangular matrices
• Basic sums of coadjoint orbits of the unitriangular group
• Groupes et algébras de Lie
• A Further Refinement of the Bruhat Decomposition
• Decomposition of gelfand-graev characters of gl₃(q)
• THE IRREDUCIBLE REPRESENTATIONS OF THE HECKE ALGEBRAS CONSTRUCTED FROM THE GELFAND-GRAEV REPRESENTATIONS OF GL(3, q) AND U(3, q)
• Schémas en groupes réductifs
• Introduction to Lie Algebras and Representation Theory

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