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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
2025-10-14 12:40:17
@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}},
  keywords     = {{color Lie algebras; cocycle twists; FCR-algebras}},
  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}},
}