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Results tagged with quantum-groups
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user 62601
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.
3
votes
1
answer
145
views
Does the Leclerc-Thibon involution exchange vertex operators of the first and second type?
This question is about $U_q ( \hat{\mathfrak{sl}}_2 )$ representation theory. There is a notion of vertex operators $\Phi_{\pm }(z)$ of first and $\Psi_{\pm}(z)$ of the second type. They are defined …
- 385
1
vote
Accepted
Does the Leclerc-Thibon involution exchange vertex operators of the first and second type?
I found the answer to the first question. Second and third questions remain.
\begin{align}
\Phi_+ (z) \rightarrow K^{-1/2} \Psi_+ (q^{-1} z) \\
\Phi_- (z) \rightarrow K^{1/2} \Psi_- (q^{-1} z)
\end{a …
- 385