Duality for coloured quantum groups

Deepak Parashar

Contact the author: Please use for correspondence this email.
Submission date: 14. Oct. 2000
Pages: 17
published in: Letters in mathematical physics, 53 (2000) 1, p. 29-40 
DOI number (of the published article): 10.1023/A:1026590128277
Bibtex
Download full preprint: PDF (264 kB), PS ziped (131 kB)

Abstract:
Duality between the coloured quantum group and the coloured quantum algebra corresponding to GL(2) is established. The coloured 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.