Available in electronic format
Available in print format		 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
Previous issue | Table of contents | Next issue
Articles in press | Recently posted articles | Most recent issue | All issues
Previous Article | Next Article
     

On the class equation for Hopf algebras

Author(s): Martin Lorenz
Journal: Proc. Amer. Math. Soc. 126 (1998), 2841-2844.
MSC (1991): Primary 16W30; Secondary 16G10
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: We give a simple proof of the Kac-Zhu class equation for semisimple Hopf algebras over an algebraically closed field of characteristic 0.

References:

[CR]
C. W. Curtis and I. Reiner, Methods of Representation Theory, Vol. 1, Wiley-Interscience, New York, 1981. MR 90k:20001

[K]
G. I. Kac, Certain arithmetic properties of ring groups, Functional Anal. Appl. 6 (1972), 158-160. MR 46:3687

[LR]
R. G. Larson and D. E. Radford, Semisimple cosemisimple Hopf algebras, Amer. J. Math. 109 (1987), 187-195. MR 89a:16011

[LS]
R. G. Larson and M. E. Sweedler, An associative orthogonal bilinear form for Hopf algebras, Amer. J. Math. 91 (1969), 75-94. MR 39:1523

[L]
M. Lorenz, Representations of finite dimensional Hopf algebras, J. Algebra 188 (1997), 476-505. CMP 97:08

[M]
A. Masuoka, Some further classification results of semisimple Hopf algebras, Commun. Algebra 24 (1996), 307-329. MR 96k:16070

[S]
H.-J. Schneider, Lectures on Hopf Algebras, Lecture Notes, Universidad Nacional de Cordoba, 1995.

[Z]
Y. Zhu, Hopf algebras of prime dimension, Internat. Math. Res. Notices 1 (1994), 53-59. MR 94j:16072

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 16W30, 16G10

Retrieve articles in all Journals with MSC (1991): 16W30, 16G10

Additional Information:

Martin Lorenz
Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122-6094
Email: lorenz@math.temple.edu

DOI: 10.1090/S0002-9939-98-04392-5
PII: S 0002-9939(98)04392-5
Keywords: Hopf algebra, Grothendieck ring, character algebra, idempotent
Received by editor(s): December 16, 1996
Received by editor(s) in revised form: March 13, 1997
Additional Notes: Research supported in part by NSF Grant DMS-9400643.
Communicated by: Ken Goodearl
Copyright of article: Copyright 1998, American Mathematical Society

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google