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Results tagged with quantum-groups
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user 14171
Questions about algebraic structures known as quantum groups, and their categories of representations. Quasitriangular Hopf algebras and their Drinfel'd twists, triangular Hopf algebras, $C^\star$ quantum groups, h-adic quantum groups, various semisimplified categories at roots of unity which are called "quantum groups", bicrossproduct quantum groups, and quantum groups coming from braided tensor categories.
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Are the Drinfeld compact quantum groups simply connected ?
To fix notations : let G be simply connected simple compact group, and $U_q(\mathcal{G})$ the Drinfeld-Jimbo universal algebra quantization of its complexified algebra defined as usual, with q not roo …
- 399
1
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Zero Sums in a $q$-Deformation Remain Zero for $q=1$
I think so (unless i missed a subtility), at least for N=2 (and the argument is probably similar in general). Namely, recall that there's a basis of the vector space $SL_q(2)$ consisting of $\{a^nb^mc …
- 399