Exotic Cluster Structures on
by Gekhtman, M.
This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin-Drinfeld classification of Poisson-Lie structures on \mathcal{G} corresponds to a cluster structure in \mathcal{O}(\mathcal{G}). The authors have shown before that this conjecture holds for any \mathcal{G}…
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- Full title :Exotic Cluster Structures on
Summary
This is the second paper in the series of papers dedicated to the study of natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structures compatible with these cluster structures. According to our main conjecture, each class in the Belavin-Drinfeld classification of Poisson-Lie structures on \mathcal{G} corresponds to a cluster structure in \mathcal{O}(\mathcal{G}). The authors have shown before that this conjecture holds for any \mathcal{G} in the case of the standard Poisson-Lie structure and for all Belavin-Drinfeld classes in SL_n, n<5. In this paper the authors establish it for the Cremmer-Gervais Poisson-Lie structure on SL_n, which is the least similar to the standard one
Read More ↓Edition Statements
- Publication Date:2017
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence
- Language:eng
- Publication Date:2017
The Physical Object
- Description:1 Online-Ressource (106 Seiten)
Edition Identifiers
- ISBN:9781470436391, 1470436396, 9781470422585, 1470422581
- oclc:on1021121354
- Dewey Decimal:512.44
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