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- Title
Hopf algebra structures and tensor products for group algebras.
- Authors
Carlson, Jon F.; Iyengar, Srikanth B.
- Abstract
The modular group algebra of an elementary abelian p-group is isomorphic to the restricted enveloping algebra of a commutative restricted Lie algebra. The different ways of regarding this algebra result in different Hopf algebra structures that determine cup products on cohomology of modules. However, it is proved in this paper that the products with elements of the polynomial subring of the cohomology ring generated by the Bocksteins of the degree one elements are independent of the choice of these coalgebra structures.
- Subjects
GROUP algebras; HOPF algebras; TENSOR products; ORDERED algebraic structures; MODULAR groups; ABELIAN groups
- Publication
New York Journal of Mathematics, 2017, Vol 23, p351
- ISSN
1076-9803
- Publication type
Article