Parameters for generalized Hecke algebras in type B

DOI10.1142/S0219498819501731zbMath1447.16012arXiv1708.03673OpenAlexW2963274797WikidataQ129334078 ScholiaQ129334078MaRDI QIDQ5231720

Max Murin, Seth Shelley-Abrahamson

Publication date: 27 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03673

zbMATH Keywords

symmetric groupCoxeter groupHecke algebrahyperoctohedral grouprational Cherednik algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representation theory of associative rings and algebras (16G99)

Uses Software

• CHEVIE

Cites Work

• Unnamed Item
• Generalized Calogero-Moser systems from rational Cherednik algebras
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• On refined filtration by supports for rational Cherednik categories \(\mathcal {O}\)
• CHEVIE -- A system for computing and processing generic character tables
• Representations of rational Cherednik algebras with minimal support and torus knots.
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Rational Cherednik algebras and Hilbert schemes. II: Representations and sheaves
• Rational Cherednik algebras and Hilbert schemes
• Heisenberg algebras and rational double affine Hecke algebras
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras

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