Zobrazeno 1 - 10
of 132
pro vyhledávání: '"SEMIKHATOV, A. M."'
Autor:
Semikhatov, A M, Tipunin, I Yu
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 50 (2017) 065202
For the quantum walled Brauer algebra, we construct its Specht modules and (for generic parameters of the algebra) seminormal modules. The latter construction yields the spectrum of a commuting family of Jucys--Murphy elements. We also propose a Baxt
Externí odkaz:
http://arxiv.org/abs/1512.06994
Autor:
Semikhatov, A M, Tipunin, I Yu
Publikováno v:
J. Math. Phys. 57, 021707 (2016)
We construct all projective modules of the restricted quantum group $\bar{U}_q s\ell(2|1)$ at an even, $2p$th, root of unity. This $64p^4$-dimensional Hopf algebra is a common double bosonization, $B(X^*)\otimes B(X)\otimes H$, of two rank-2 Nichols
Externí odkaz:
http://arxiv.org/abs/1312.5127
Autor:
Semikhatov, A. M., Tipunin, I. Yu.
Publikováno v:
J. Phys. A: Math. Theor. 46 (2013) 494011
We construct chiral algebras that centralize rank-two Nichols algebras with at least one fermionic generator. This gives "logarithmic" W-algebra extensions of a fractional-level ^sl(2) algebra. We discuss crucial aspects of the emerging general relat
Externí odkaz:
http://arxiv.org/abs/1301.2235
Autor:
Semikhatov, A. M.
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 conformal field theory.
Comment: 14pp. LateX: amsart++, xy, time
Comment: 14pp. LateX: amsart++, xy, time
Externí odkaz:
http://arxiv.org/abs/1301.2227
Autor:
Semikhatov, A. M.
Publikováno v:
Theoretical and Mathematical Physics 173 (2012) 1329--1358
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-Drinfeld modules, this strongly suggests that the relevant Nichols algebr
Externí odkaz:
http://arxiv.org/abs/1109.5919
Autor:
Semikhatov, A. M.
Publikováno v:
Mathematical Lectures from Peking University Bai, C.; Fuchs, J.; Huang, Y.-Z.; Kong, L.; Runkel, I.; Schweigert, C. (Eds.) 2014, IX 67-92
A Virasoro central charge can be associated with each Nichols algebra with diagonal braiding in a way that is invariant under the Weyl groupoid action. The central charge takes very suggestive values for some items in Heckenberger's list of rank-2 Ni
Externí odkaz:
http://arxiv.org/abs/1109.1767
Autor:
Semikhatov, A. M., Tipunin, I. Yu.
Publikováno v:
Commun. Contemp. Math. 14, 1250029 (2012)
Two related constructions are associated with screening operators in models of two-dimensional conformal field theory. One is a local system constructed in terms of the braided vector space X spanned by the screening species in a given CFT model and
Externí odkaz:
http://arxiv.org/abs/1101.5810
Autor:
Semikhatov, A. M.
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 braiding structure allows generalizing H(B^*) = B^{*cop}\braid B to "H
Externí odkaz:
http://arxiv.org/abs/0908.3105
Publikováno v:
Commun.Math.Phys. 247 (2004) 713-742
We find a nonsemisimple fusion algebra F_p associated with each (1,p) Virasoro model. We present a nonsemisimple generalization of the Verlinde formula which allows us to derive F_p from modular transformations of characters.
Comment: LaTeX (ams
Comment: LaTeX (ams
Externí odkaz:
http://arxiv.org/abs/hep-th/0306274
Autor:
Batalin, I. A., Semikhatov, A. M.
Publikováno v:
Theor.Math.Phys. 136 (2003) 1189-1211; Teor.Mat.Fiz. 136 (2003) 339-364
We show that the associative algebra structure can be incorporated in the BRST quantization formalism for gauge theories such that extension from the corresponding Lie algebra to the associative algebra is achieved using operator quantization of redu
Externí odkaz:
http://arxiv.org/abs/math/0301136