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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
6/2001

Coloured extension of GL_q(2) and its dual algebra

Deepak Parashar

Abstract

We address the problem of duality between the coloured extension of the quantised algebra of functions on a group and that of its quantised universal enveloping algebra i.e. its dual. In particular, we derive explicitly the algebra dual to the coloured extension of GLq(2) using the coloured RLL relations and exhibit its Hopf structure. This leads to a coloured generalisation of the R-matrix procedure to construct a bicovariant differential calculus on the coloured version of GLq(2). In addition, we also propose a coloured generalisation of the geometric approach to quantum group duality given by Sudbery and Dobrev.

Received:
Feb 27, 2001
Published:
Feb 27, 2001

Related publications

inJournal
2001 Repository Open Access
Deepak Parashar

Colored extension of GLq2 and its dual algebra

In: Physics of atomic nuclei, 64 (2001) 12, pp. 2146-2150