171 citations · 298 across the 9 of their papers we have counts for
17 papers
A note on the "logarithmic-W_3" octuplet algebra and its Nichols algebra
A. M. Semikhatov
We describe a Nichols-algebra-motivated construction of an octuplet chiral algebra that is a "W_3-counterpart" of the triplet algebra of (p,1) logarithmic models of two-dimensional…
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…
A differential U-module algebra for U=U_q sl(2) at an even root of unity
AM Semikhatov
We show that the full matrix algebra Mat_p(C) is a U-module algebra for U = U_q sl(2), a 2p^3-dimensional quantum sl(2) group at the 2p-th root of unity. Mat_p(C) decomposes into a…
A note on the logarithmic (p,p') fusion
AM Semikhatov
The procedure in [Fuchs et al.] to obtain a fusion algebra from the modular transformation of characters in logarithmic conformal field models is extended to the (p,p') logarithmic…
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)…
Factorizable ribbon quantum groups in logarithmic conformal field theories
AM Semikhatov
We review the properties of quantum groups occurring as Kazhdan--Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quas…