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- W4302797188 abstract "We develop the theory of semisimple weak Hopf algebras and obtain analogues of a number of classical results for ordinary semisimple Hopf algebras. We prove a criterion for semisimplicity and analyze the square of the antipode S^2 of a semisimple weak Hopf algebra A. We explain how the Frobenius-Perron dimensions of irreducible A-modules and eigenvalues of S^2 can be computed using the inclusion matrix associated to A. A trace formula of Larson and Radford is extended to a relation between the global and Frobenius-Perron dimensions of A. Finally, an analogue of the Class Equation of Kac and Zhu is established and properties of $A$-module algebras and their dimensions are studied." @default.
- W4302797188 created "2022-10-07" @default.
- W4302797188 creator A5033466869 @default.
- W4302797188 date "2003-04-07" @default.
- W4302797188 modified "2023-09-27" @default.
- W4302797188 title "Semisimple weak Hopf algebras" @default.
- W4302797188 doi "https://doi.org/10.48550/arxiv.math/0304098" @default.
- W4302797188 hasPublicationYear "2003" @default.
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