SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES
<jats:title>Abstract</jats:title> <jats:p>We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal <jats:italic>R</jats:italic>-matrix of the double of the shuffle algebra in question. We con...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Cambridge University Press (CUP)
2022
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| Online Access: | https://hdl.handle.net/1721.1/145817 |
| _version_ | 1811072476513304576 |
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| author | Neguț, Andrei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Neguț, Andrei |
| author_sort | Neguț, Andrei |
| collection | MIT |
| description | <jats:title>Abstract</jats:title>
<jats:p>We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal <jats:italic>R</jats:italic>-matrix of the double of the shuffle algebra in question. We conjecture that this factorization matches the one defined by [1, 18, 32, 33, 34] using Nakajima quiver varieties.</jats:p> |
| first_indexed | 2024-09-23T09:06:34Z |
| format | Article |
| id | mit-1721.1/145817 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:06:34Z |
| publishDate | 2022 |
| publisher | Cambridge University Press (CUP) |
| record_format | dspace |
| spelling | mit-1721.1/1458172022-10-14T03:42:07Z SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES Neguț, Andrei Massachusetts Institute of Technology. Department of Mathematics <jats:title>Abstract</jats:title> <jats:p>We define slope subalgebras in the shuffle algebra associated to a (doubled) quiver, thus yielding a factorization of the universal <jats:italic>R</jats:italic>-matrix of the double of the shuffle algebra in question. We conjecture that this factorization matches the one defined by [1, 18, 32, 33, 34] using Nakajima quiver varieties.</jats:p> 2022-10-13T13:53:46Z 2022-10-13T13:53:46Z 2022 2022-10-13T13:42:56Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/145817 Neguț, Andrei. 2022. "SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES." Journal of the Institute of Mathematics of Jussieu. en 10.1017/S1474748022000184 Journal of the Institute of Mathematics of Jussieu Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Cambridge University Press (CUP) arXiv |
| spellingShingle | Neguț, Andrei SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title | SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title_full | SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title_fullStr | SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title_full_unstemmed | SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title_short | SHUFFLE ALGEBRAS FOR QUIVERS AND R -MATRICES |
| title_sort | shuffle algebras for quivers and r matrices |
| url | https://hdl.handle.net/1721.1/145817 |
| work_keys_str_mv | AT negutandrei shufflealgebrasforquiversandrmatrices |