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- W2006012023 abstract "ABSTRACT The aim of this paper is to study representations of weak Hopf algebras. We first prove that the global dimension of a weak Hopf algebra is the same as the projective dimension of its left unital subalgebra and deduce some equivalent conditions for its semisimplicity. Then we give the construction of a typical example 𝔲(m, L) of finite dimensional semisimple weak Hopf algebra, which associates to a cyclic quiver . All irreducible modules of 𝔲(m, L) are classified. The structure of the truncated tensor product for any two irreducible 𝔲(m, L)-modules V and W is obtained." @default.
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- W2006012023 date "2005-10-01" @default.
- W2006012023 modified "2023-09-25" @default.
- W2006012023 title "Representations of Weak Hopf Algebras Associated to Cyclic Quivers" @default.
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- W2006012023 doi "https://doi.org/10.1080/00927870500243106" @default.
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