Colored extension of GL q(2) and its dual algebra |
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Authors: | D. Parashar |
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Affiliation: | (1) Max-Planck-Institut für Mathematik in der Naturwissenschaften, Inselstrasse 22-26, D-04103 Leipzig, Germany |
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Abstract: | We address the problem of duality between the colored extension of the quantized algebra of functions on a group and that of its quantized universal enveloping algebra, i.e., its dual. In particular, we derive explicitly the algebra dual to the colored extension of GL q(2) using the colored RLL relations and exhibit its Hopf structure. This leads to a colored generalization of the R-matrix procedure to construct a bicovariant differential calculus on the colored version of GL q(2). In addition, we also propose a colored generalization of the geometric approach to quantum group duality given by Sudbery and Dobrev. |
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