Перегляд за автором "Futorny, V."

Сортувати за: Порядок: Результатів:

  • Galois orders of symmetric differential operators 
    Futorny, V.; Schwarz, J. (Algebra and Discrete Mathematics, 2017)
    In this survey we discuss the theory of Galois rings and orders developed in ([20], [22]) by Sergey Ovsienko and the first author. This concept allows to unify the representation theories of Generalized Weyl Algebras ([4]) ...
  • Induced Modules for Affine Lie Algebras 
    Futorny, V.; Kashuba, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
  • Irreducible Generic Gelfand-Tsetlin Modules of gl(n) 
    Futorny, V.; Grantcharov, D.; Ramirez, L.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n).
  • Realizations of affine Lie algebras 
    Futorny, V. (Algebra and Discrete Mathematics, 2005)
    This is an expository paper on some realizations of affine Lie algebras and their representations in terms of differential operators. In particular we recall the classical construction of Wakimoto modules and its recent ...