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Yur'ev Denis Valer'evich

Publications in Math-Net.Ru

  1. Octonions and binocular mobilevision

    Fundam. Prikl. Mat., 7:3 (2001),  909–924
  2. Characteristics of pairs of operators, Lie hybrids, Poisson brackets and nonlinear geometric algebra

    Fundam. Prikl. Mat., 6:1 (2000),  265–273
  3. Dynamical inverse problem of representation theory and noncommutative geometry

    Fundam. Prikl. Mat., 4:1 (1998),  359–365
  4. Topics in isotopic pairs and their representations. II. A general supercase

    TMF, 111:1 (1997),  149–158
  5. Belavkin–Kolokoltsov watch-dog effects in interactively controlled stochastic dynamical videosystems

    TMF, 106:2 (1996),  333–352
  6. Isotopic pairs and their representations

    TMF, 105:1 (1995),  18–28
  7. Complex projective geometry and quantum projective field theory

    TMF, 101:3 (1994),  331–348
  8. Quantum projective field theory: Quantum-field analogs of the Euler–Arnol'd equations in projective $G$ multiplets

    TMF, 98:2 (1994),  220–240
  9. Three algebraic structures of quantum projective ($\mathrm{sl}(2,\mathbb C)$-invariant) field theory

    TMF, 97:3 (1993),  336–347
  10. Folding of Verma modules over the Lie algebra $\mathfrak{sl}(2, \mathbb C)$ and hidden $\mathfrak{sl}(3, \mathbb C)$-symmetries in a projective quantum field theory

    Uspekhi Mat. Nauk, 47:3(285) (1992),  153
  11. On the determination of the radius of univalence of a regular function from its Taylor coefficients

    Mat. Sb., 183:1 (1992),  45–64
  12. QPFT operator algebras and commutative exterior differential calculus

    TMF, 93:1 (1992),  32–38
  13. Quantum projective field theory: Quantum-field analogs of the Euler formulas

    TMF, 92:1 (1992),  172–176
  14. The algebra $\mathrm{Vert}(\mathbb C\mathrm{vir},c)$ of vertex operators for the Virasoro algebra

    Algebra i Analiz, 3:3 (1991),  197–205
  15. A certain module over the binary-Lie central extension $\mathsf{jl_2}(\mathbb C)$ of the double $\mathsf{sl_2}(\mathbb C)+\mathsf{sl_2}(\mathbb C)$

    Uspekhi Mat. Nauk, 46:6(282) (1991),  223–224
  16. Fubini-Veneziano fields in quantum projective field theory

    Uspekhi Mat. Nauk, 46:5(281) (1991),  161–162
  17. Quantum conformal field theory as an infinite-dimensional non-commutative geometry

    Uspekhi Mat. Nauk, 46:4(280) (1991),  115–138
  18. Classification of vertex operators in two-dimensional $\operatorname{sl} (2,\mathbb C)$-invariant quantum field theory

    TMF, 86:3 (1991),  338–343
  19. A model of Verma modules over the Virasoro algebra

    Algebra i Analiz, 2:2 (1990),  209–226
  20. Radius of univalence of a regular function

    Funktsional. Anal. i Prilozhen., 24:1 (1990),  90–91
  21. Non-Euclidean geometry of mirrors and prequantization on the homogeneous Kähler manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$

    Uspekhi Mat. Nauk, 43:2(260) (1988),  159–160
  22. Kähler geometry of the infinite-dimensional homogeneous space $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$

    Funktsional. Anal. i Prilozhen., 21:4 (1987),  35–46
  23. Octonion and superoctonion symmetries in exceptional gauge groups

    TMF, 73:1 (1987),  74–78
  24. Kähler geometry of the infinite-dimensional homogeneous manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$

    Funktsional. Anal. i Prilozhen., 20:4 (1986),  79–80


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