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

DOI10.1142/S0219498822501912MaRDI QIDQ5867549

Daniil Kalinov, Merrick Cai

Publication date: 14 September 2022

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

Full work available at URL: https://arxiv.org/abs/1811.04910

zbMATH Keywords

positive characteristicrepresentation theoryHilbert seriesCherednik algebras

Mathematics Subject Classification ID

Representation theory of associative rings and algebras (16G99)

Cites Work

• Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic.
• Calogero-Moser systems and representation theory
• Representations of rational Cherednik algebras in positive characteristic.
• BABY VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS
• The polynomial representation of the type A_n−1 rational Cherednik algebra in characteristic p | n
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