The quantum Cartan algebra associated to a bicovariant differential calculus

Details The quantum Cartan algebra associated to a bicovariant differential calculus The quantum Cartan algebra associated to a bicovariant differential calculus

2010-03-05

arxiv.org/abs/1003.1202v2

Mathematics

Quantum Algebra

20 pages, no figures. Minor corrections in the example in Section 4.

Scientific paper

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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