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Showing 2008 · math.QAShow all
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math.QA2008
When weak Hopf algebras are Frobenius
Miodrag C. Iovanov, Lars Kadison
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 dimen…
math.QA2008
The antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective
Margaret Beattie, Miodrag Cristian Iovanov, Serban Raianu
For a Hopf algebra of arbitrary dimension over a field , it is well-known that if has nonzero integrals, or, in other words, if the coalgebra is co-Frobenius, then t…