216 citations · 760 across the 24 of their papers we have counts for
24 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…
Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra
A. M. Semikhatov
We rederive a popular nonsemisimple fusion algebra in the braided context, from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Dri…
Heisenberg double H(B^*) as a braided commutative Yetter-Drinfeld module algebra over the Drinfeld double
AM Semikhatov
We study the Yetter--Drinfeld D(B)-module algebra structure on the Heisenberg double H(B^*) endowed with a "heterotic" action of the Drinfeld double D(B). This action can be interp…
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…
Quantum-sl(2) action on a divided-power quantum plane at even roots of unity
AM Semikhatov
We describe a nonstandard version of the quantum plane, the one in the basis of divided powers at an even root of unity . It can be regarded as an extension of the "nea…
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…