Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Representations and cocycle twists of color Lie algebras

Chen, X. -W. ; Silvestrov, Sergei LU and Van Oystaeyen, F. (2006) In Algebras and Representation Theory 9(6). p.633-650
Abstract
We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
color Lie algebras, cocycle twists, FCR-algebras
in
Algebras and Representation Theory
volume
9
issue
6
pages
633 - 650
publisher
Springer
external identifiers
  • wos:000241105700006
  • scopus:33749470614
ISSN
1386-923X
DOI
10.1007/s10468-006-9027-0
language
English
LU publication?
yes
id
16cba6f2-1609-4183-8e1c-566e768a5fa9 (old id 388731)
date added to LUP
2016-04-01 12:33:14
date last changed
2021-09-22 01:58:32
@article{16cba6f2-1609-4183-8e1c-566e768a5fa9,
  abstract     = {We study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra sl(2)(c).},
  author       = {Chen, X. -W. and Silvestrov, Sergei and Van Oystaeyen, F.},
  issn         = {1386-923X},
  language     = {eng},
  number       = {6},
  pages        = {633--650},
  publisher    = {Springer},
  series       = {Algebras and Representation Theory},
  title        = {Representations and cocycle twists of color Lie algebras},
  url          = {http://dx.doi.org/10.1007/s10468-006-9027-0},
  doi          = {10.1007/s10468-006-9027-0},
  volume       = {9},
  year         = {2006},
}