Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899432 | Reports on Mathematical Physics | 2011 | 28 Pages |
Abstract
We associate to any (suitable) bicovariant differential calculus on a quantum group a Cartan Hopf algebra. We provide it with a left, respectively right, representation in terms of left, respectively right, Cartan calculus operators acting on the corresponding exterior algebra. The example of the Hopf algebra associated to the 4D+ differential calculus on SUq(2) is described.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Lucio S. Cirio, Chiara Pagani, Alessandro Zampini,