Deformed W-algebras in Type A for Rectangular Nilpotent
For any n,r∈N, we construct an algebra Prn via generators and quadratic relations, and show that it deforms the W–algebra of glnr with respect to a nilpotent with Jordan block decomposition r+…+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gln to Prn, and show th...
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| Fformat: | Erthygl |
| Iaith: | English |
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Springer Berlin Heidelberg
2022
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| Mynediad Ar-lein: | https://hdl.handle.net/1721.1/139618 |
| _version_ | 1826197453847658496 |
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| author | Neguţ, Andrei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Neguţ, Andrei |
| author_sort | Neguţ, Andrei |
| collection | MIT |
| description | For any n,r∈N, we construct an algebra Prn via generators and quadratic relations, and show that it deforms the W–algebra of glnr with respect to a nilpotent with Jordan block decomposition r+…+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gln to Prn, and show that the action of the quantum toroidal algebra on the K–theory groups of the moduli spaces of parabolic sheaves factors through Prn. |
| first_indexed | 2024-09-23T10:47:54Z |
| format | Article |
| id | mit-1721.1/139618 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:47:54Z |
| publishDate | 2022 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1396182023-08-31T20:55:09Z Deformed W-algebras in Type A for Rectangular Nilpotent Neguţ, Andrei Massachusetts Institute of Technology. Department of Mathematics For any n,r∈N, we construct an algebra Prn via generators and quadratic relations, and show that it deforms the W–algebra of glnr with respect to a nilpotent with Jordan block decomposition r+…+r. We introduce a surjective morphism from half of the quantum toroidal algebra of gln to Prn, and show that the action of the quantum toroidal algebra on the K–theory groups of the moduli spaces of parabolic sheaves factors through Prn. 2022-01-18T20:11:42Z 2022-01-18T20:11:42Z 2021-11-19 2022-01-16T05:06:52Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/139618 Neguţ, Andrei. 2021. "Deformed W-algebras in Type A for Rectangular Nilpotent." en https://doi.org/10.1007/s00220-021-04263-z Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Neguţ, Andrei Deformed W-algebras in Type A for Rectangular Nilpotent |
| title | Deformed W-algebras in Type A for Rectangular Nilpotent |
| title_full | Deformed W-algebras in Type A for Rectangular Nilpotent |
| title_fullStr | Deformed W-algebras in Type A for Rectangular Nilpotent |
| title_full_unstemmed | Deformed W-algebras in Type A for Rectangular Nilpotent |
| title_short | Deformed W-algebras in Type A for Rectangular Nilpotent |
| title_sort | deformed w algebras in type a for rectangular nilpotent |
| url | https://hdl.handle.net/1721.1/139618 |
| work_keys_str_mv | AT negutandrei deformedwalgebrasintypeaforrectangularnilpotent |