171 citations · 295 across the 8 of their papers we have counts for
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Yetter--Drinfeld structures on Heisenberg doubles and chains
A. M. Semikhatov
For a Hopf algebra B with bijective antipode, we show that the Heisenberg double H(B^*) is a braided commutative Yetter--Drinfeld module algebra over the Drinfeld double D(B). The…
Higher string functions, higher-level Appell functions, and the logarithmic ^sl(2)_k/u(1) CFT model
AM Semikhatov
We generalize the string functions C_{n,r}(tau) associated with the coset ^sl(2)_k/u(1) to higher string functions A_{n,r}(tau) and B_{n,r}(tau) associated with the coset W(k)/u(1)…
Kazhdan--Lusztig-dual quantum group for logarithmic extensions of Virasoro minimal models
BL Feigin, AM Gainutdinov, AM Semikhatov +1
We derive and study a quantum group g(p,q) that is Kazhdan--Lusztig-dual to the W-algebra W(p,q) of the logarithmic (p,q) conformal field theory model. The algebra W(p,q) is genera…
algebras
BL Feigin, AM Semikhatov
We construct W-algebra generalizations of the ^sl(2) algebra -- W-algebras W^{(2)}_n generated by two currents E and F with the highest pole of order n in their OPE. The n=3 term i…
Higher-Level Appell Functions, Modular Transformations, and Characters
AM Semikhatov, IYu Tipunin, A Taormina
We study modular transformation properties of a class of indefinite theta series involved in characters of infinite-dimensional Lie superalgebras. The \textit{level- Appell f…