Finite W-Superalgebras and Truncated Super Yangians

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Abstract

Let Ym{pipe}n be the super Yangian of general linear Lie superalgebra for glm{pipe}n. Let e ∈ gl mℓ{pipe}nℓ be a "rectangular" nilpotent element and We be the finite W-superalgebra associated to e. We show that Ym{pipe}n is isomorphic to We.

Original languageEnglish
Pages (from-to)89-102
Number of pages14
JournalLetters in Mathematical Physics
Volume104
Issue number1
DOIs
StatePublished - Jan 2014

Keywords

  • finite W-algebra
  • Yangian

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