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Communications in Algebra Volume 40, 2012 - Issue 11
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Original Articles

Tensor Products of Modules Over a Certain Class of Quantum Doubles

S. Burciu Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, RomaniaCorrespondence[email protected]
Pages 4240-4254 | Received 19 Sep 2010, Published online: 20 Sep 2012
 
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Abstract

The quantum doubles of a certain class of rank two pointed Hopf algebras are considered. The socle of the tensor product of two such modules is computed, and formulas similar to the ones in [Citation4] are obtained. Cases when such a tensor product is completely irreducible are also given in the last section.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

Research partially supported by PN-II-RU-PD-2009 CNCSIS grant PD-168, No. 14/28.07.2010.

Notes

Communicated by J. Zhang.

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