INTERRELATIONS BETWEEN QUANTUM GROUPS AND REFLECTION EQUATION (BRAIDED) ALGEBRAS

Authors
ISAEV AP
Citation
Ap. Isaev, INTERRELATIONS BETWEEN QUANTUM GROUPS AND REFLECTION EQUATION (BRAIDED) ALGEBRAS, letters in mathematical physics, 34(4), 1995, pp. 333-341
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
34
Issue
4
Year of publication
1995
Pages
333 - 341
Database
ISI
SICI code
0377-9017(1995)34:4<333:IBQGAR>2.0.ZU;2-O
Abstract
We show that the differential complex Omega(B) over the braided matrix algebra BM(q)(N) represents a covariant comodule with respect to the coaction of the Hopf algebra Omega(A) which is a differential extensio n of GL(q)(N). On the other hand, the algebra Omega(A) is a covariant braided comodule with respect to the coaction of the braided Hopf alge bra Omega(B). Geometrical aspects of these results are discussed.