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Semigroup $C^*$-algebras and their representations
September 11, 2013 17:00, Kazan, Kazan State Power Engineering University, Krasnosel'skaya st., 51, D-408
 


Quantum enveloping algebras, von Neumann regularity and the Pierce decomposition

S. A. Duplij

V. N. Karazin Kharkiv National University

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S. A. Duplij
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Abstract: Quantum bialgebras derivable from U q (sl 2 ) which contain idempotents and von Neumann regular Cartan-like generators are introduced and investigated. Various types of antipodes (invertible and von Neumann regular) on these bialgebras are constructed, which leads to a Hopf algebra structure and a von Neumann-Hopf algebra structure, respectively. For them, explicit forms of some particular R-matrices (also, invertible and von Neumann regular) are presented, and the latter respects the Pierce decomposition.

Language: English

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