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- W3098964578 abstract "Let V be the 7-dimensional irreducible representation of the quantum group U_q(g_2). For each n, there is a map from the braid group B_n to the endomorphism algebra of the n-th tensor power of V, given by R-matrices. We can extend this linearly to a map on the braid group algebra. Lehrer and Zhang (MR2271576) prove this map is surjective, as a special case of a more general result. Using Kuperberg's spider for G_2 from arXiv:math.QA/9201302, we give an elementary diagrammatic proof of this result." @default.
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- W3098964578 date "2011-01-03" @default.
- W3098964578 modified "2023-10-16" @default.
- W3098964578 title "The braid group surjects ontoG2tensor space" @default.
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- W3098964578 doi "https://doi.org/10.2140/pjm.2011.249.189" @default.
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