56 citations · 329 across the 50 of their papers we have counts for
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Large annihilator category O for sl_{\infty}, o_{\infty}, sp_{\infty}
Ivan Penkov, Vera Serganova
We construct a new analogue of the BGG category for the infinite-dimensional Lie algebras $\fg=\mathfrak{sl}(\infty),\mathfrak{o}(\infty), \mathfrak{sp}(\infty)$. A ma…
Clifford and Weyl superalgebras and spinor representations
Jonas T. Hartwig, Vera Serganova
We construct a family of twisted generalized Weyl algebras which includes Weyl-Clifford superalgebras and quotients of the enveloping algebras of and $\mathfra…
Deligne categories and the periplectic Lie superalgebra
Inna Entova-Aizenbud, Vera Serganova
We study stabilization of finite-dimensional representations of the periplectic Lie superalgebras as . The paper gives a construction of the tensor…
The Capelli eigenvalue problem for Lie superalgebras
Siddhartha Sahi, Hadi Salmasian, Vera Serganova
For a finite dimensional unital complex simple Jordan superalgebra , the Tits-Kantor-Koecher construction yields a 3-graded Lie superalgebra $\mathfrak g_\flat\cong \mathfrak g_…
The affine VW supercategory
Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud +7
We define the affine VW supercategory , which arises from studying the action of the periplectic Lie superalgebra $\mathfrak{p}(…