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Existence of R-matrix for a quantized Kac–Moody algebra

Published online by Cambridge University Press:  24 October 2008

Volodimir Lyubashenko
Volodimir Lyubashenko
Affiliation:
Department of Mathematics, University of York, Heslington, York, YO1 5DD
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Abstract

There is a pairing between two Borel subalgebras of a quantized Kac–Moody algebra, which plays the rôle of R-matrix. Over the field ℚ(q) this pairing is non-degenerate. We show the existence of a braiding in some categories of representations of a quantized Kac-Moody algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 2 , September 1994 , pp. 193 - 207
Copyright
Copyright © Cambridge Philosophical Society 1994

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