Kirillov Anatolii Nikolaevich

Publications in Math-Net.Ru

1. Notes on Schubert, Grothendieck and Key Polynomials
   
   SIGMA, 12 (2016), 034, 56 pp.
2. On Some Quadratic Algebras I $\frac{1}{2}$: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss–Catalan, Universal Tutte and Reduced Polynomials
   
   SIGMA, 12 (2016), 002, 172 pp.
3. Some remarks on Nepomechie–Wang eigenstates for spin 1/2 XXX model
   
   Mosc. Math. J., 15:2 (2015),  337–352
4. Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties
   
   Algebra i Analiz, 22:3 (2010),  155–176
5. Paths and Kostka–Macdonald polynomials
   
   Mosc. Math. J., 9:4 (2009),  823–854
6. Skew Divided Difference Operators and Schubert Polynomials
   
   SIGMA, 3 (2007), 072, 14 pp.
7. Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant
   
   Algebra i Analiz, 17:1 (2005),  190–208
8. Cauchy identities for universal Schubert polynomials
   
   Zap. Nauchn. Sem. POMI, 283 (2001),  123–139
9. Bijective correspondences for rigged configurations
   
   Algebra i Analiz, 12:1 (2000),  204–240
10. Groups generated by involutions, Gelfand–Tsetlin patterns, and combinatorics of Young tableaux
    
    Algebra i Analiz, 7:1 (1995),  92–152
11. Dilogarithm identities, partitions, and spectra in conformal field theory
    
    Algebra i Analiz, 6:2 (1994),  152–175
12. Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras
    
    Zap. Nauchn. Sem. POMI, 205 (1993),  30–37
13. On the combinatorics of rational representations of the group $GL(n,\mathbb{C})$
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  83–90
14. A resonance valence bond in quasicrystals
    
    Algebra i Analiz, 1:2 (1989),  47–76
15. Lagrange identity and the hooks formula
    
    Zap. Nauchn. Sem. LOMI, 172 (1989),  78–87
16. Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra
    
    Funktsional. Anal. i Prilozhen., 22:4 (1988),  84–85
17. The quantum Clebsch-Gordan coefficients
    
    Zap. Nauchn. Sem. LOMI, 168 (1988),  67–84
18. Identities for the Rogers dilogarithm function connected with simple Lie algebras
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  121–133
19. Form-factors in the $SU(2)$-invariant Thirring model
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  80–120
20. Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  67–79
21. Formulae for form factors in the quantum Sh-Gordon model
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  54–66
22. Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras
    
    Zap. Nauchn. Sem. LOMI, 160 (1987),  211–221
23. Bethe ansatz and combinatorics of Young tableaux
    
    Zap. Nauchn. Sem. LOMI, 155 (1986),  65–115
24. Combinatorics Bethe ansats and representations of symmetric group
    
    Zap. Nauchn. Sem. LOMI, 155 (1986),  50–64
25. On the properties of integral kernels for the $XXZ$–model of arbitrary spin
    
    Zap. Nauchn. Sem. LOMI, 146 (1985),  47–91
26. A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin
    
    Zap. Nauchn. Sem. LOMI, 146 (1985),  31–46
27. Norm of bound states
    
    Zap. Nauchn. Sem. LOMI, 146 (1985),  20–30
28. On $T$–invariance, $CPT$–invariance and local commutativity for the quantum $(ch\varphi)_2$ model
    
    Zap. Nauchn. Sem. LOMI, 146 (1985),  9–19
29. Exact solution of the $XXZ$ Heisenberg model of spin $S$
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  109–133
30. The completeness of eigenstates of the generalised Heisenberg magnet
    
    Zap. Nauchn. Sem. LOMI, 134 (1984),  169–189
31. Horm pairing in the two-dimensional local field
    
    Zap. Nauchn. Sem. LOMI, 132 (1983),  76–84
32. On certain combinatorial identities and completeness of eigenstates of the Heisenberg magnet
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  88–105
33. Zeta-function of the monodromy for complete intersection singularities
    
    Zap. Nauchn. Sem. LOMI, 112 (1981),  112–120
34. Formula for computation of integral cohomology of algebraic knot related with isolated singularity of the hypersurface
    
    Zap. Nauchn. Sem. LOMI, 100 (1980),  106–112
35. Convex polytopes and formal groups
    
    Zap. Nauchn. Sem. LOMI, 75 (1978),  87–90
36. Commutative formal groups
    
    Zap. Nauchn. Sem. LOMI, 57 (1976),  117–124
37. Lutz filtration of formal groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975),  1227–1239