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arXiv · 1003.1202

The quantum Cartan algebra associated to a bicovariant differential calculus

Lucio S. Cirio·Chiara Pagani·Alessandro Zampini
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Abstract

We associate to any (suitable) bicovariant differential calculus on a quantum group a Cartan Hopf algebra which has a left, respectively right, representation in terms of left, respectively right, Cartan calculus operators. The example of the Hopf algebra associated to the $4D_+$ differential calculus on $SU_q(2)$ is described.

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Lucio S. Cirio, Chiara Pagani, Alessandro Zampini. 2010-03-05. The quantum Cartan algebra associated to a bicovariant differential calculus. https://doi.org/10.1016/s0034-4877(12)60012-3

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