Category \(\mathcal O\) for rational Cherednik algebras \(H_{t,c}(\mathrm{GL}_2(\mathbb F_p),\mathfrak h)\) in characteristic \(p\).

DOI10.1016/j.jpaa.2012.12.005zbMath1283.20003arXiv1107.5996OpenAlexW2952715365MaRDI QIDQ387392

Harrison Chen, Martina Balagović

Publication date: 23 December 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5996

zbMATH Keywords

weightscategory \(\mathcal O\)rational Cherednik algebrascharacters of irreducible representationslinear groups over finite fields

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representations of quivers and partially ordered sets (16G20)

Related Items (5)

Drinfeld Hecke algebras for symmetric groups in positive characteristic ⋮ Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic. ⋮ ON THE SMOOTHNESS OF CENTRES OF RATIONAL CHEREDNIK ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ Group-twisted Alexander-Whitney and Eilenberg-Zilber maps ⋮ PBW deformations of skew group algebras in positive characteristic.

Uses Software

• Magma

Cites Work

• A study of certain modular representations
• The Magma algebra system. I: The user language
• Representations of rational Cherednik algebras in positive characteristic.
• Towards a combinatorial representation theory for the rational Cherednik algebra of type G(r, p, n)

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