Fairon, M. (2021) Double quasi-Poisson brackets: fusion and new examples. Algebras and Representation Theory, 24(4), pp. 911-958. (doi: 10.1007/s10468-020-09974-w)
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Abstract
We exhibit new examples of double quasi-Poisson brackets, based on some classification results and the method of fusion. This method was introduced by Van den Bergh for a large class of double quasi-Poisson brackets which are said differential, and our main result is that it can be extended to arbitrary double quasi-Poisson brackets. We also provide an alternative construction for the double quasi-Poisson brackets of Van den Bergh associated to quivers, and of Massuyeau-Turaev associated to the fundamental groups of surfaces.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fairon, Dr Maxime |
| Authors: | Fairon, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Algebras and Representation Theory |
| Publisher: | Springer |
| ISSN: | 1386-923X |
| ISSN (Online): | 1572-9079 |
| Published Online: | 30 June 2020 |
| Copyright Holders: | Copyright © 2020 The Author |
| First Published: | First published in Algebras and Representation Theory 24(4): 911-958 |
| Publisher Policy: | Reproduced under a Creative Commons licence |
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