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- W2950966415 abstract "In this article we construct a large family of $R$-matrices for various extensions of small quantum groups by grouplike elements. The extensions are in correspondence to lattices between root and weight lattice and admit $R$-matrices in many cases where the original small quantum group does not. The results of this work extends some results that are well-known for $u_q(mathfrak{sl}_2)$. Especially for $A_n$ a combinatorial theorem about roots of unity was necessary, which is interesting on its own, and has been proven in a separate paper [LN14]." @default.
- W2950966415 created "2019-06-27" @default.
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- W2950966415 date "2014-09-19" @default.
- W2950966415 modified "2023-10-16" @default.
- W2950966415 title "New $R$-matrices for small quantum groups" @default.
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