Abstract
We consider the (finite) -algebra attached to the principal nilpotent orbit in the general linear Lie superalgebra . Our main result gives an explicit description of as a certain truncation of a shifted version of the Yangian . We also show that admits a triangular decomposition and construct its irreducible representations.
Citation
Jonathan Brown. Jonathan Brundan. Simon Goodwin. "Principal $W$-algebras for $\operatorname{GL}(m\vert n)$." Algebra Number Theory 7 (8) 1849 - 1882, 2013. https://doi.org/10.2140/ant.2013.7.1849
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