The polynomial representation of the type An−1 rational Cherednik algebra in characteristic p | n

DOI10.1080/00927872.2016.1226866zbMath1400.20002arXiv1505.07891OpenAlexW3100730588MaRDI QIDQ5274700

Sheela Devadas, Yi Sun

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07891

zbMATH Keywords

rational Cherednik algebrasmodular representation theory

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Formal power series rings (13F25)

Related Items (3)

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

Cites Work

• Representations of rational Cherednik algebras of \(G(m,r,n)\) in positive characteristic.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Representations of rational Cherednik algebras in positive characteristic.
• Cherednik algebras and Hilbert schemes in characteristic 𝑝
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