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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
64/2000

Duality for coloured quantum groups

Deepak Parashar

Abstract

Duality between the coloured quantum group and the coloured quantum algebra corresponding to GL(2) is established. The coloured $L^\pm$ functionals are constructed and the dual algebra is derived explicitly. These functionals are then employed to give a coloured generalisation of the differential calculus on quantum GL(2) within the framework of the R-matrix approach.

Received:
14.10.00
Published:
14.10.00

Related publications

inJournal
2000 Repository Open Access
Deepak Parashar

Duality for coloured quantum groups

In: Letters in mathematical physics, 53 (2000) 1, pp. 29-40