Multiple generalized cluster structures on $D(\mathrm {GL}_n)$
We produce a large class of generalized cluster structures on the Drinfeld double of $\operatorname {\mathrm {GL}}_n$ that are compatible with Poisson brackets given by Belavin–Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2023-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000440/type/journal_article |
| _version_ | 1797808123771092992 |
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| author | Dmitriy Voloshyn |
| author_facet | Dmitriy Voloshyn |
| author_sort | Dmitriy Voloshyn |
| collection | DOAJ |
| description | We produce a large class of generalized cluster structures on the Drinfeld double of
$\operatorname {\mathrm {GL}}_n$
that are compatible with Poisson brackets given by Belavin–Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on
$\operatorname {\mathrm {GL}}_n$
. |
| first_indexed | 2024-03-13T06:32:50Z |
| format | Article |
| id | doaj.art-47fce18abc434e6ea540b1c6479a3430 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-03-13T06:32:50Z |
| publishDate | 2023-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-47fce18abc434e6ea540b1c6479a34302023-06-09T07:43:45ZengCambridge University PressForum of Mathematics, Sigma2050-50942023-01-011110.1017/fms.2023.44Multiple generalized cluster structures on $D(\mathrm {GL}_n)$Dmitriy Voloshyn0https://orcid.org/0000-0002-0690-6749Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, 37673, Korea; E-mail: University of Notre Dame, Notre Dame, 46556, United States of AmericaWe produce a large class of generalized cluster structures on the Drinfeld double of $\operatorname {\mathrm {GL}}_n$ that are compatible with Poisson brackets given by Belavin–Drinfeld classification. The resulting construction is compatible with the previous results on cluster structures on $\operatorname {\mathrm {GL}}_n$ .https://www.cambridge.org/core/product/identifier/S2050509423000440/type/journal_article13F6053D17 |
| spellingShingle | Dmitriy Voloshyn Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ Forum of Mathematics, Sigma 13F60 53D17 |
| title | Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ |
| title_full | Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ |
| title_fullStr | Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ |
| title_full_unstemmed | Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ |
| title_short | Multiple generalized cluster structures on $D(\mathrm {GL}_n)$ |
| title_sort | multiple generalized cluster structures on d mathrm gl n |
| topic | 13F60 53D17 |
| url | https://www.cambridge.org/core/product/identifier/S2050509423000440/type/journal_article |
| work_keys_str_mv | AT dmitriyvoloshyn multiplegeneralizedclusterstructuresondmathrmgln |