Bilinear Forms on Frobenius Algebras

Abstract

We analyze the homothety types of associative bilinear forms that can occur on a Hopf algebra or on a local Frobenius k-algebra R with residue field k. If R is symmetric, then there exists a unique form on R up to homothety iff R is commutative. If R is Frobenius, then we introduce a norm based on the Nakayama automorphism of R. We show that if two forms on… (More)

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Cite this paper

@inproceedings{Murray2005BilinearFO, title={Bilinear Forms on Frobenius Algebras}, author={W. N. Murray}, year={2005} }