Hopf algebras with divided powers

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A Note on Divided Powers in a Hopf Algebra

The algebraic structure of a Hopf algebra over a field was established by A. Borel [l] (see Théorème 6.1). The theorem asserts that if a Hopf algebra is finitely generated in each dimension and the field is perfect then it is algebraically isomorphic to a tensor product of monogenic exterior and polynomial algebras (the latter possibly truncated if the characteristic is prime). Under more restr...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1971

ISSN: 0021-8693

DOI: 10.1016/0021-8693(71)90126-8