The rational Cherednik algebra of type \(A_1\) with divided powers

zbMath1490.16047arXiv2003.02382MaRDI QIDQ2075854

Daniil Kalinov, Lev Kruglyak

Publication date: 16 February 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02382

zbMATH Keywords

positive characteristicrepresentation theorydivided powersCherednik algebrasnon-commutative algebra

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Representation theory of associative rings and algebras (16G99) Other classes of algebras (08C99)

Cites Work

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• Calogero-Moser systems and representation theory
• Representations of rational Cherednik algebras of rank one in positive characteristic.
• A strong splitting of the Frobenius morphism on the algebra of distributions of \(\mathrm{SL}_2\)
• 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
• Cherednik algebras and Hilbert schemes in characteristic 𝑝

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