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Semikhatov Aleksei Mikhailovich

Publications in Math-Net.Ru

  1. Fusion in the entwined category of Yetter–Drinfeld modules of a rank-1 Nichols algebra

    TMF, 173:1 (2012),  3–37
  2. Quantum $s\ell(2)$ action on a divided-power quantum plane at even roots of unity

    TMF, 164:1 (2010),  28–45
  3. A differential $\mathscr U$-module algebra for $\mathscr{U}=\overline{\mathscr U}_{\mathfrak{q}}s\ell(2)$ at an even root of unity

    TMF, 159:1 (2009),  5–33
  4. Factorizable ribbon quantum groups in logarithmic conformal field theories

    TMF, 154:3 (2008),  510–535
  5. Toward logarithmic extensions of $\widehat{s\ell}(2)_k$ conformal field models

    TMF, 153:3 (2007),  291–346
  6. Kazhdan–Lusztig correspondence for the representation category of the triplet $W$-algebra in logarithmic CFT

    TMF, 148:3 (2006),  398–427
  7. Associativity and Operator Hamiltonian Quantization of Gauge Theories

    TMF, 136:3 (2003),  339–364
  8. $\widehat{s\ell}(2)\oplus \widehat{s\ell}(2)/\widehat{s\ell}(2)$ coset theory is a Hamiltonian reduction of the $\widehat{D}(2|1; \alpha)$ superalgebra

    Pis'ma v Zh. Èksper. Teoret. Fiz., 74:1 (2001),  61–65
  9. Twists and Singular Vectors in $\widehat{s\ell}(2|1)$ Representations

    TMF, 128:3 (2001),  474–491
  10. Semi-Infinite Realization of Unitary Representations of the $N=2$ Algebra and Related Constructions

    TMF, 126:1 (2001),  3–62
  11. A Kähler structure of the triplectic geometry

    TMF, 124:3 (2000),  355–372
  12. Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution

    TMF, 121:2 (1999),  244–257
  13. Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: I

    TMF, 121:1 (1999),  89–109
  14. Representations of infinite-dimensional algebras and conformal field theory: from $N=2$ to $\widehat{sl}(2\vert1)$

    TMF, 112:2 (1997),  195–240
  15. $d\le 1\cup d\ge 25$ and constrained KP hierarchy from BRST invariance in the $c\ne 3$ topological algebra

    TMF, 95:2 (1993),  239–250

  16. Unification and supersymmetry

    UFN, 152:3 (1987),  547–549


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