Journal of Nonlinear Mathematical Physics

Volume 13, Issue Supplement, August 2006, Pages 129 - 136

Classical quasi-trigonometric r-matrices of Cremmer-Gervais type and their quantization

Authors
Julia Y.-Magnusson, Maxim Samsonov, Alexander Stolin
Corresponding Author
Julia Y.-Magnusson
Available Online 1 August 2006.
DOI
10.2991/jnmp.2006.13.s.14How to use a DOI?
Abstract

We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang-Baxter equation. The method is based on so-called affinization of certain seaweed algebras and their quantum analogues.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - Supplement
Pages
129 - 136
Publication Date
2006/08/01
ISBN
91-974824-6-3
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.s.14How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Julia Y.-Magnusson
AU  - Maxim Samsonov
AU  - Alexander Stolin
PY  - 2006
DA  - 2006/08/01
TI  - Classical quasi-trigonometric r-matrices of Cremmer-Gervais type and their quantization
JO  - Journal of Nonlinear Mathematical Physics
SP  - 129
EP  - 136
VL  - 13
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.s.14
DO  - 10.2991/jnmp.2006.13.s.14
ID  - Y.-Magnusson2006
ER  -