Algebraic Approach to Gauge Theory and Its Non-Commutative Extension
- 1 March 1992
- journal article
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 17 (2) , 175-182
- https://doi.org/10.1088/0253-6102/17/2/175
Abstract
We propose an alternative algebraic construction of the connection theory on the fiber bundle, and find its non-commutative extension, i.e., the connection theory based on guantum groups. In this construction, the Yang-Baxter equation arises as the exchange relations of connections and a deformed trace of quantum groups is introduced to build up the characteristic classes.Keywords
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