NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES

NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES

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...

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Veröffentlicht in:Transformation groups 2023-03, Vol.28 (1), p.185-239
Hauptverfasser: ETINGOF, P., KALINOV, D., RAINS, E.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Deformation
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Zusammenfassung: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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-022-09717-9