Finite W-superalgebras via super Yangians

Yung Ning Peng

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Let e be an arbitrary even nilpotent element in the general linear Lie superalgebra glM|N and let We be the associated finite W-superalgebra. Let Ym|n be the super Yangian associated to the Lie superalgebra glm|n. A subalgebra of Ym|n, called the shifted super Yangian and denoted by Ym|n(σ), is defined and studied. Moreover, an explicit isomorphism between We and a quotient of Ym|n(σ) is established.

Original languageEnglish
Article number107459
JournalAdvances in Mathematics
StatePublished - 22 Jan 2021


  • Finite W-superalgebra
  • Shifted super Yangian


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