On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case

Authors

Elena Poletaeva, The University of Texas Rio Grande Valley
Vera Serganova

Document Type

Article

Publication Date

11-2017

Abstract

In this paper, we study the finite W-algebra for the queer Lie superalgebra Q(N) associated with the non-regular even nilpotent coadjoint orbits in the case when N = nl, and the corresponding nilpotent element has Jordan blocks each of size l. We prove that this finite W-algebra is isomorphic to a quotient of the super-Yangian of Q(n).

Comments

Original published version available at https://doi.org/10.1063/1.4993709

Recommended Citation

Poletaeva, Elena, and Vera Serganova. 2017. “On the Finite W-Algebra for the Lie Superalgebra Q(N) in the Non-Regular Case.” Journal of Mathematical Physics 58 (11): 111701. https://doi.org/10.1063/1.4993709.

Publication Title

Journal of Mathematical Physics

DOI

10.1063/1.4993709