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On the center of two-parameter quantum groups

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Authors
Kang, Seok-Jin; Benkart, Georgia; Lee, Kyu-Hwan
Issue Date
2006
Publisher
Cambridge University Press
Citation
Proc. Roy. Soc. Edinburgh A 136 (2006), 445-472
Abstract
We describe Poincaré–Birkhoff–Witt bases for the two-parameter quantum groups U = U_{r,s}(sln) following Kharchenko and show that the positive part of U has the structure of an iterated skew polynomial ring. We define an ad-invariant bilinear form on U, which plays an important role in the construction of central elements. We introduce an analogue of the Harish-Chandra homomorphism and use it to determine the centre of U.
ISSN
0080-4541 (Print)
1473-7124 (Online)
http://dx.doi.org/10.1017/S0308210500005011
Language
English
URI
https://hdl.handle.net/10371/12160
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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