 

Jon F. Carlson and Srikanth B. Iyengar
Hopf algebra structures and tensor products for group algebras view print


Published: 
March 15, 2017 
Keywords: 
Coproduct, elementary abelian group, Hochschild cohomology, Hopf algebra, tensor product of modules 
Subject: 
20J06 (primary), 20C20 


Abstract
The modular group algebra of an elementary abelian pgroup 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.


Acknowledgements
JFC was partially supported by NSA grant H982301510007 and by Simons Foundation grant 05481301. SBI was partially supported by NSF grant DMS1503044. JFC would like to thank the University of Utah for kind hospitality during his visit when the work on this paper was started.


Author information
Jon F. Carlson:
Department of Mathematics, University of Georgia, Athens, GA 30602, USA
jfc@math.uga.edu
Srikanth B. Iyengar:
Department of Mathematics, University of Utah, Salt Lake City, UT 68588, USA
iyengar@math.utah.edu

