NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES
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31_2022_Article_9717.pdf
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Author(s) • •
ETINGOF, P.
KALINOV, D.
RAINS, E.
Date Issued
July 26, 2022
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00031-022-09717-9