Publication Search Results

Matches for:

  • Author=Molev AI

1. Molev AI. A quantum Sylvester theorem and skew representations of twisted Yangians, (2004), preprint


2. Molev AI, Ragoucy E. Symmetries and invariants of twisted quantum algebras and associated Poisson algebras, (2007), preprint


3. Molev AI. Littlewood-Richardson polynomials, (2007), preprint


4. Billig Y, Molev AI, Zhang RB. Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus, (2007), preprint


5. Futorny V, Molev AI, Ovsienko S. Gelfand-Tsetlin bases for representations of finite W-algebras and shifted Yangians, (2007), preprint


6. Futorny V, Molev AI, Ovsienko S. Gelfand-Kirillov conjecture and Harish-Chandra modules for finite W-algebras, (2008), preprint


7. Isaev AP, Molev AI, Os'kin AF. On the idempotents of Hecke algebras, (2008), preprint


8. Molev AI. Comultiplication rules for the double Schur functions and Cauchy identities, (2008), preprint


9. Chervov AV, Molev AI. On higher order Sugawara operators, (2008), preprint


10. Isaev AP, Molev AI. Fusion procedure for the Brauer algebra, (2009), preprint


11. Gow L, Molev AI. Representations of twisted q-Yangians, (2009), preprint


12. Molev AI, Ragoucy E. The MacMahon Master Theorem for right quantum superalgebras and higher Sugawara operators for \hat gl(m|n), (2009), preprint


13. Davydov A, Molev AI. A categorical approach to classical and quantum Schur-Weyl duality, (2010), preprint


14. Molev AI. Combinatorial bases for covariant representations of the Lie superalgebra \( \mathfrak{gl}_{m|n} \), (2010), preprint


15. Isaev AP, Molev AI, Ogievetsky OV. A new fusion procedure for the Brauer algebra and evaluation homomorphisms, (2011), preprint


16. Molev AI. Feigin-Frenkel center in types B, C and D, (2011), preprint


17. Molev AI. Pfaffian-type Sugawara operators, (2011), preprint


18. Isaev AP, Molev AI, Ogievetsky OV. Idempotents for Birman-Murakami-Wenzl algebras and reflection equation, (2011), preprint


19. Molev AI, Rozhkovskaya N. Characteristic maps for the Brauer algebra, (2011), preprint


20. Iorgov N, Molev AI, Ragoucy E. Casimir elements from the Brauer-Schur-Weyl duality, (2012), preprint


21. Molev AI, Mukhin EE. Yangian characters and classical W-algebras, (2013), preprint


22. Molev AI. Feigin–Frenkel center in types \(B\), \(C\) and \(D\), Inventiones Mathematicae, 191 (2013), no. 1, 1–34.


23. Isaev AP, Molev AI, Ogievetsky OV. A New Fusion Procedure for the Brauer Algebra and Evaluation Homomorphisms, International Mathematics Research Notices, 2012 (2012), no. 11, 2571–2606.


24. Davydov A, Molev AI. A categorical approach to classical and quantum Schur-Weyl duality, Contemporary Mathematics, 537 (2011), 143–171.


25. Molev AI. Combinatorial bases for covariant representations of the Lie superalgebra gl(m|n), Bulletin of the Institute of Mathematics, Academia Sinica., 6 (2011), no. 4, 415–462.


26. Isaev AP, Molev AI, Ogievetsky OV. A new fusion procedure for the Brauer algebra and evaluation homomorphisms, International Mathematics Research Notices, 2011 (2011), online, 36 pages.


27. Futorny V, Molev AI, Ovsienko S. The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras, Advances in Mathematics, 223 (2010), 773–796. MR2565549


28. Gow L, Molev AI. Representations of twisted q-Yangians, Selecta Mathematica, 16 (2010), no. 3, 439–499.


29. Isaev AP, Molev AI. Fusion procedure for the Brauer algebra, Algebra i Analiz, 22 (2010), no. 3, 142–154. MR2729943


30. Molev AI. Comultiplication rules for the double Schur functions and Cauchy identities, Electronic Journal of Combinatorics, 16 (2009), no. 1, R13, 44pp. MR2475536


31. Molev AI. Littlewood-Richardson polynomials, Journal of Algebra, 321 (2009), 3450–3468. MR2510056


32. Molev AI. Yangians and Classical Lie Algebras, Russian edition (ed.), Moscow Center for Continuous Mathematical Education, Moscow, (2009), 536. ISBN 978-5-94057-498-9


33. Chervov AV, Molev AI. On higher order Sugawara operators, International Mathematics Research Notices, 2009 (2009), no. 9, 1612–1635. MR2500972


34. Molev AI, Ragoucy E. Symmetries and invariants of twisted quantum algebras and associated Poisson algebras, Reviews in Mathematical Physics, 20 (2008), no. 2, 173–198. MR2400009


35. Futorny V, Molev AI, Ovsienko S. Gelfand-Tsetlin Bases for Representations of Finite \(W\)-Algebras and Shifted Yangians, Lie theory and its applications in physics VII, VII International Workshop on Lie theory and its applications in physics, H.-D. Doebner and V.K. Dobrev (eds.), Heron Press, Sofia, (2008), 352–363. ISBN 978-954-580-240-9


36. Isaev AP, Molev AI, Os'kin AF. On the idempotents of Hecke algebras, Letters in Mathematical Physics, 85 (2008), 79–90. MR2425663


37. Molev AI. On the fusion procedure for the symmetric group, Reports on Mathematical Physics, 61 (2008), no. 2, 181–188. MR2424084


38. Billig Y, Molev AI, Zhang RB. Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus, Advances in Mathematics, 218 (2008), 1972–2004. MR2431666


39. Molev AI. Yangians and Classical Lie Algebras, Mathematical Surveys and Monographs, 143, American Mathematical Society, Providence, RI, (2007), 400. ISBN 978-0-8218-4374-1 MR2355506


40. Molev AI. Skew representations of twisted Yangians, Selecta Mathematica (N.S.), 12 (2006), no. 1, 1–38. MR2244262


41. Billig Y, Futorny V, Molev AI. Verma modules for Yangians, Letters in Mathematical Physics, 78 (2006), no. 1, 1–16. MR2271124


42. Hopkins MJ, Molev AI. On the skew representations of the quantum affine algebra, Czechoslovak Journal of Physics, 56 (2006), no. 10/11, 1179–1184. MR2282297


43. Arnaudon D, Molev AI, Ragoucy E. On the \(R\)-matrix realization of Yangians and their representations, Annales Henri Poincaré, 7 (2006), 1269–1325. MR2283732


44. Molev AI. Representations of the twisted quantized enveloping algebra of type \(C_n\), Moscow Mathematical Journal, 6 (2006), 531–551. MR2274864


45. Hopkins MJ, Molev AI. A \(q\)-analogue of the centralizer construction and skew representations of the quantum affine algebra, Symmetry, Integrability and Geometry: Methods and Applications, 2 (2006), paper 092, 29 pp.. MR2282297


46. Futorny V, Molev AI, Ovsienko S. Harish-Chandra modules for Yangians, Representation Theory, 9 (2005), 426–454. MR2142818


47. Molev AI, Retakh V. Quasideterminants and Casimir elements for the general linear Lie superalgebra, International Mathematics Research Notices, 13 (2004), 611–619. MR2039788


48. Molev AI, Tolstoy VN, Zhang RB. On irreducibility of tensor products of evaluation modules for the quantum affine algebra, Journal of Physics. A. Mathematical and General, 37 (2004), 2385 – 2399. MR2045932


49. Bahturin Y, Molev AI. Casimir elements for some graded Lie algebras and superalgebras, Czechoslovak Journal of Physics, 54 (2004), 1159 – 1164. MR2123586


50. Molev AI. Littlewood-Richardson problem for Schubert polynomials, Australian Mathematical Society Gazette, 31 (2004), 295 – 297. MR2105758


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