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 |
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| creator | ETINGOF, P. KALINOV, D. RAINS, E. |
| description | 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. |
| doi_str_mv | 10.1007/s00031-022-09717-9 |
| format | Article |
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| subjects | Algebra Deformation Lie Groups Mathematics Mathematics and Statistics Topological Groups |
| title | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
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