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Operator algebra quantum groups of universal gauge groups
Operator algebra quantum groups universal gauge groups
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2010/12/24
In this paper, we quantize universal gauge groups such as SU(\infty), in the sigma-C*-algebra setting. More precisely, we propose a concise definition of sigma-C*-quantum groups and explain the conce...
Lie Algebra Quantization by the Star Product
Lie Algebra Quantization Star Product
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2010/12/23
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
Semi-Simple Extension of the (Super) Poincaré Algebra
Semi-Simple Extension dimensional Poincaré algebra Semi-Simple Tensor Extension
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2009/9/4
A semi-simple tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions D. It is established that this extension is a direct sum of the D-dimensional Lorentz algebra so(D−...