Symmetry for finite dimensional Hopf algebras

Author:

Humphreys J. E.

Abstract

This note refines criteria given by R. G. Larson and M. E. Sweedler for a finite dimensional Hopf algebra to be a symmetric algebra, with applications to restricted universal enveloping algebras and to certain finite dimensional subalgebras of the hyperalgebra of a semisimple algebraic group in characteristic p.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference10 articles.

1. The 𝑢-algebra of a restricted Lie algebra is Frobenius;Berkson, Astrid J.;Proc. Amer. Math. Soc.,1964

2. Actualit\'{e}s Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1349;Bourbaki, N.,1972

3. Pure and Applied Mathematics, Vol. XI;Curtis, Charles W.,1962

4. W. J. Haboush, (manuscript).

5. Modular representations of classical Lie algebras and semisimple groups;Humphreys, J. E.;J. Algebra,1971

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