✦ LIBER ✦

The coloured quantum plane

✍ Scribed by Deepak Parashar

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 73 KB
Volume: 44
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(02)00051-7

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✦ Synopsis

We study the quantum plane associated to the coloured quantum group GL λ,µ q (2) and solve the problem of constructing the corresponding differential geometric structure. This is achieved within the R-matrix framework generalising the Wess-Zumino formalism and leads to the concept of coloured quantum space. Both the coloured Manin plane as well as the bicovariant differential calculus exhibit the colour exchange symmetry. The coloured h-plane corresponding to the coloured Jordanian quantum group GL λ,µ h ( 2) is also obtained by contraction of the coloured q-plane.

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