GL_q(N)-covariant braided differential bialgebras

Details GL_q(N)-covariant braided differential bialgebras GL_q(N)-covariant braided differential bialgebras

1994-02-04

arxiv.org/abs/hep-th/9402024v1

Lett.Math.Phys. 33 (1995) 297-302

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1007/BF00749683

We study a possibility to define the (braided) comultiplication for the GLq(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) and on the braided matrix algebra BMq(N) with both multiplicative and additive coproducts. The latter case is related (for N=2) to the q-Minkowski space and q-Poincare algebra.

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