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arXiv · hep-th/9304161

A note on quantum structure constants

Leonardo Castellani·Marco A. R-Monteiro
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Abstract

The Cartan-Maurer equations for any $q$-group of the $A_{n-1}, B_n, C_n, D_n$ series are given in a convenient form, which allows their direct computation and clarifies their connection with the $q=1$ case. These equations, defining the field strengths, are essential in the construction of $q$-deformed gauge theories. An explicit expression $\om ^i\we \om^j= -\Z {ij}{kl}\om ^k\we \om^l$ for the $q$-commutations of left-invariant one-forms is found, with $\Z{ij}{kl} \om^k \we \om^l \qonelim \om^j\we\om^i$.

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Leonardo Castellani, Marco A. R-Monteiro. 1993-05-01. A note on quantum structure constants. https://doi.org/10.1016/0370-2693(93)91317-g

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