NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES

Author(s)
ETINGOF, P.; KALINOV, D.; RAINS, E.
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Abstract
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 reection 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.
Date issued
2022-07-26
URI
https://hdl.handle.net/1721.1/144161
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer US
Citation
ETINGOF, P., KALINOV, D. and RAINS, E. 2022. "NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES."
Version: Final published version
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