Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 343 - 350

Factorization of the Loop Algebras and Compatible Lie Brackets

Authors
I.Z. Golubchik, V.V. Sokolov
Corresponding Author
I.Z. Golubchik
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.27How to use a DOI?
Abstract

It is shown that any decomposition of the loop algebra over a simple Lie algebra into a direct sum of the Taylor series and a complementary subalgebra is defined by a pair of compatible Lie brackets.

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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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
343 - 350
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.27How 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

risenwbib
TY  - JOUR
AU  - I.Z. Golubchik
AU  - V.V. Sokolov
PY  - 2005
DA  - 2005/01/01
TI  - Factorization of the Loop Algebras and Compatible Lie Brackets
JO  - Journal of Nonlinear Mathematical Physics
SP  - 343
EP  - 350
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.27
DO  - 10.2991/jnmp.2005.12.s1.27
ID  - Golubchik2005
ER  -