GLQ(N)-COVARIANT BRAIDED DIFFERENTIAL BIALGEBRAS

Authors
ISAEV AP VLADIMIROV AA
Citation
Ap. Isaev et Aa. Vladimirov, GLQ(N)-COVARIANT BRAIDED DIFFERENTIAL BIALGEBRAS, letters in mathematical physics, 33(4), 1995, pp. 297-302
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
33
Issue
4
Year of publication
1995
Pages
297 - 302
Database
ISI
SICI code
0377-9017(1995)33:4<297:GBDB>2.0.ZU;2-E
Abstract
We study the possibility of defining the (braided) comultiplication fo r the GL(q)(N)-covariant differential complexes on some quantum spaces . We discover such differential bialgebras (and Hopf algebras) on the bosonic and fermionic quantum hyperplanes (with additive coproduct) an d on the braided matrix algebra BM(q)(N) with both multiplicative and additive coproducts. The latter case is related (for N = 2) to the q-M inkowski space and q-Poincare algebra.