Extensions of Finite Quantum Groups by Finite Groups |
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Authors: | N Andruskiewitsch G A García |
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Institution: | (1) FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, C. Univ., 5000 Córdoba, Argentina |
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Abstract: | We give a necessary and sufficient condition for two Hopf algebras presented as central extensions to be isomorphic, in a
suitable setting. We then study the question of isomorphism between the Hopf algebras constructed in AG] as quantum subgroups
of quantum groups at roots of 1. Finally, we apply the first general result to show the existence of infinitely many non-isomorphic
Hopf algebras of the same dimension, presented as extensions of finite quantum groups by finite groups.
Partially supported by CONICET, ANPCyT, Secyt (UNC) and Ministerio de Ciencia y Tecnología de la Provincia de Córdoba. |
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Keywords: | |
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