New realizations of deformed double current algebras and Deligne categories
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Publication:6341557
DOI10.1007/S00031-022-09717-9arXiv2005.13604MaRDI QIDQ6341557
Daniil Kalinov, Eric Rains, Pavel Etingof
Publication date: 27 May 2020
Abstract: In this paper we propose an alternative construction of a certain class of Deformed Double Current Algebras. We construct them as spherical subalgebras of symplectic reflection algebras in the Deligne category. They can also be thought of as ultraproducts of the corresponding spherical subalgebras in finite rank. We also provide new presentations of DDCA of types A and B by generators and relations.
Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35) Associative rings and algebras arising under various constructions (16S99)
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