Semisimplicity of u-Quasi-Hopf Algebra |
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| Authors: | WANG Xiu-rong |
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| Institution: | College of Mathematics, Qingdao University, Shandong 266071, China |
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| Abstract: | The notions of u-quasi-Hopf algebras and the quantum dimension dimuM of a representation M by u are introduced.It is shown that a u-quasi-Hopf algebra H is semisimple if and only if there is a finite-dimensional projective H-module P such that dimu P is invertible. |
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| Keywords: | quasi-Hopf algebra quantum dimension semisimplicity |
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