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When weak Hopf algebras are Frobenius by Iovanov, Miodrag C.; Kadison, Lars is a scholarly article available to read on EtoBox.

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We investigate when a weak Hopf algebra H is Frobenius; we show this is not always true, but it is true if the semisimple base algebra A has all its matrix blocks of the same dimension. However, if A is a semisimple algebra not having this property, there is a weak Hopf algebra H with base A which is not Frobenius (and consequently, it is not Frobenius "over" A either). We give, moreover, a categorical counterpart of the result that a Hopf algebra is a Frobenius algebra for a noncoassociative generalization of weak Hopf algebra.

Author

Iovanov, Miodrag C.; Kadison, Lars

Published

2008

Language

EN