Bases of the quantum matrix bialgebra and induced sign characters of the Hecke algebra

DOI10.1007/s10801-018-0832-4zbMath1473.17039arXiv1802.04856OpenAlexW2962702067MaRDI QIDQ5919545

Justin Lambright, Mark Skandera, Ryan Kaliszewski

Publication date: 19 July 2019

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04856

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

Generating functions for monomial characters of wreath products ℤ/dℤ≀ 𝕾_n ⋮ Total nonnegativity and induced sign characters of the Hecke algebra

Cites Work

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• Combinatorics of Coxeter Groups
• Immanants of Totally Positive Matrices are Nonnegative
• Some Conjectures for Immanants
• Howe duality and the quantum general linear group
• Hecke Algebra Characters and Immanant Conjectures
• Generating Functions for Hecke Algebra Characters
• On the Vector Representations of Induced Matroids
• Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations

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