3 v 1 1 9 N ov 1 99 2 GL q ( N ) - Covariant Quantum Algebras and Covariant Differential Calculus ∗
نویسندگان
چکیده
We consider GL q (N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrari-ness, there are only two kinds of such quantum algebras, namely, the algebras with q-deformed commutation and q-deformed anticommutation relations. The connection with the bicovariant differential calculus on the linear quantum groups is disscussed.
منابع مشابه
ar X iv : h ep - t h / 93 11 11 2 v 1 1 9 N ov 1 99 3 Covariant differential complexes on quantum linear groups . ∗
Covariant differential complexes on quantum linear groups. Abstract We consider the possible covariant external algebra structures for Cartan's 1-forms (Ω) on GL q (N) and SL q (N). Our starting points are that Ω's realize an adjoint representation of quantum group, and all monomials of Ω's possess the unique ordering. For the obtained external algebras we define the differential mapping d poss...
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