Browsing by Author "Ogievetsky O."

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  • Contravariant form for reduction algebras 
    Khoroshkin S.; Ogievetsky O. (2018)
    © 2018 Elsevier B.V. We define contravariant forms on diagonal reduction algebras, algebras of h-deformed differential operators and on standard modules over these algebras. We study properties of these forms and their ...
  • Diagonal reduction algebra and the reflection equation 
    Khoroshkin S.; Ogievetsky O. (2017)
    © 2017, Hebrew University of Jerusalem. We describe the diagonal reduction algebra D(gl n ) of the Lie algebra gl n in the R-matrix formalism. As a byproduct we present two families of central elements and the braided ...
  • Differential calculus on h-deformed spaces 
    Herlemont B.; Ogievetsky O. (2017)
    © 2017, Institute of Mathematics. All rights reserved. We construct the rings of generalized differential operators on the h-deformed vector space of gl-type. In contrast to the q-deformed vector space, where the ring of ...
  • Rings of h-deformed differential operators 
    Ogievetsky O.; Herlemont B. (2017)
    © 2017, Pleiades Publishing, Ltd. We describe the center of the ring Diff h (n) ofh-deformed differential operators of type A. We establish an isomorphism between certain localizations of Diff h (n) and the Weyl algebra W ...
  • The Six Cylinders Problem: D <inf>3</inf> -Symmetry Approach 
    Ogievetsky O.; Shlosman S. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Motivated by a question of W. Kuperberg, we study the 18-dimensional manifold of configurations of six non-intersecting infinite cylinders of radius ...

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