NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES
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 sp...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2022
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| Online Access: | https://hdl.handle.net/1721.1/144161 |
| _version_ | 1826201765084659712 |
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| author | ETINGOF, P. KALINOV, D. RAINS, E. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics ETINGOF, P. KALINOV, D. RAINS, E. |
| author_sort | ETINGOF, P. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:56:25Z |
| format | Article |
| id | mit-1721.1/144161 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:56:25Z |
| publishDate | 2022 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1441612023-12-08T19:18:28Z NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES ETINGOF, P. KALINOV, D. RAINS, E. Massachusetts Institute of Technology. Department of Mathematics 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. 2022-08-01T12:16:15Z 2022-08-01T12:16:15Z 2022-07-26 2022-07-31T03:12:02Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/144161 ETINGOF, P., KALINOV, D. and RAINS, E. 2022. "NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES." PUBLISHER_CC en https://doi.org/10.1007/s00031-022-09717-9 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer US Springer US |
| spellingShingle | ETINGOF, P. KALINOV, D. RAINS, E. NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title_full | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title_fullStr | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title_full_unstemmed | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title_short | NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES |
| title_sort | new realizations of deformed double current algebras and deligne categories |
| url | https://hdl.handle.net/1721.1/144161 |
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