Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic.

DOI10.1216/JCA-2014-6-4-525zbMath1336.20006arXiv1304.0856MaRDI QIDQ485962

Sheela Devadas, Steven V. Sam

Publication date: 14 January 2015

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

Full work available at URL: https://arxiv.org/abs/1304.0856

zbMATH Keywords

Verma modulesHilbert seriescomplex reflection groupsrational Cherednik algebraslowest-weight irreducible representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Related Items (4)

Drinfeld Hecke algebras for symmetric groups in positive characteristic ⋮ The rational Cherednik algebra of type \(A_1\) with divided powers ⋮ The Hilbert series of the irreducible quotient of the polynomial representation of the rational Cherednik algebra of type An−1 in characteristic p for p|n − 1 ⋮ The polynomial representation of the type A_n−1 rational Cherednik algebra in characteristic p | n

Uses Software

• GAP
• Macaulay2
• SageMath

Cites Work

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