ar X iv : h ep - t h / 94 03 15 4 v 1 2 5 M ar 1 99 4 Interrelations between Quantum Groups and Reflection Equation ( Braided ) Algebras
نویسنده
چکیده
We show that the differential complex Ω B over the braided matrix algebra BM q (N) represents a covariant comodule with respect to the coaction of the Hopf algebra Ω A which is a differential extension of GL q (N). On the other hand, the algebra Ω A is a covariant braided comodule with respect to the coaction of the braided Hopf algebra Ω B. Geometrical aspects of these results are discussed.
منابع مشابه
ar X iv : h ep - t h / 94 11 03 9 v 1 5 N ov 1 99 4 DFTT - 44 / 94 November 1994 R - MATRIX FORMULATION OF THE QUANTUM INHOMOGENEOUS GROUPS
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ar X iv : h ep - t h / 94 03 01 6 v 2 1 4 D ec 1 99 4 Quantum Chains with GL q ( 2 ) Symmetry Masoud Alimohammadi
Usually quantum chains with quantum group symmetry are associated with representations of quantized universal algebras Uq(g) . Here we propose a method for constructing quantum chains with Cq(G) global symmetry , where Cq(G) is the algebra of functions on the quantum group. In particular we will construct a quantum chain with GLq(2) symmetry which interpolates between two classical Ising chains...
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