10 citations · 29 across the 12 of their papers we have counts for
14 papers
Representations of the Lie superalgebra of superderivations of the Grassmann algebra at infinity
Lucas Calixto, Crystal Hoyt
The Lie superalgebra is defined to be the direct limit of the simple finite-dimensional Cartan type Lie superalgebras as goes to infinity, where denot…
The Duflo-Serganova functor, vingt ans après
Maria Gorelik, Crystal Hoyt, Vera Serganova +1
We review old and new results concerning the functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript arXiv:math/050…
Denominator identities for the periplectic Lie superalgebra
Crystal Hoyt, Mee Seong Im, Shifra Reif
We prove denominator identities for the periplectic Lie superalgebra , thereby completing the problem of finding denominator identities for all simple classical fi…
Integrable -modules and Category for
Crystal Hoyt, Ivan Penkov, Vera Serganova
We introduce and study new categories T(g,k)of integrable sl(\infty)-modules which depend on the choice of a certain reductive subalgebra k in g=sl(\infty). The simple objects of t…
Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor
Crystal Hoyt, Shifra Reif
We show that the Duflo-Serganova functor on the category of finite-dimensional modules over a finite-dimensional contragredient Lie superalgebra induces a ring homomorphism on a na…
On good Z-gradings of basic Lie superalgebras
Crystal Hoyt
We discuss the classification of good Z-gradings of basic Lie superalgebras. This problem arose in connection to W-algebras, where good Z-gradings play a role in their construction…