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Communications in Algebra Volume 39, 2011 - Issue 12
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Original Articles

The Second Indicator and the Trace of the Antipode for Representations of a Class of Hopf Algebras of Andruskiewitch-Schneider Type

Leonid Krop DePaul University, Chicago, USACorrespondence[email protected]
Pages 4719-4732 | Received 04 Nov 2010, Published online: 14 Dec 2011

REFERENCES

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  • Chin , W. , Krop , L. ( 2009 ). Representation theory of liftings of quantum planes . J. Algebra Appl. 8 : 259 – 287 .
  • Jedwab , A. ( 2010 ). A trace invariant for representations of Hopf algebras . Comm. Alg. 38 : 3456 – 3468 .
  • Jedwab , A. , Krop , L. ( 2011 ). Trace-like invariant for representations of nilpotent liftings of quantum planes . Comm. Alg. 39 : 1465 – 1475 .
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  • Krop , L. , Radford , D. E. ( 2009 ). Representations of pointed Hopf algebras and their Drinfel'd quantum doubles . J. Algebra 321 : 2567 – 2603 .
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  • Ng , S.-H. , Schauenburg , P. ( 2007 ). Higher Frobenius–Schur indicators for pivotal categories. Hopf algebras and generalizations, Contemp. Math. Vol. 411. Amer. Math. Soc. Providence, RI, pp. 63–90 .
  • Radford , D. , Schneider , H.-J. ( 2008 ). On the simple representations of generalized quantum groups and quantum doubles . J. Algebra 319 : 3689 – 3731 .
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  • Communicated by S. Montgomery. To Mia Cohen in honor of her contributions to mathematics.

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