10 citations · 18 across the 9 of their papers we have counts for
14 papers
The Harish-Chandra isomorphism for supersymmetric spaces and ghost distributions
Shifra Reif, Siddhartha Sahi, Vera Serganova +1
We prove the Harish-Chandra isomorphism theorem for supersymmetric spaces, describing the polynomial algebra of eigenvalues of invariant differential operators. The polynomials obt…
Restriction Theorems and Root Systems for Symmetric Superspaces
Shifra Reif, Siddhartha Sahi, Vera Serganova
In this paper we consider those involutions of a finite-dimensional Kac-Moody Lie superalgebra , with associated decomposition $\mathfrak g=\mathfrak k\oplus\mathf…
Grothendieck Rings of Queer Lie Superalgebras
Shifra Reif
We determine the Grothendieck rings of the category of finite-dimensional modules over Queer Lie superalgebras via their rings of characters. In particular, we show that the ring o…
The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions
Mee Seong Im, Shifra Reif, Vera Serganova
We show that the Grothendieck ring of finite-dimensional representations of the periplectic Lie supergroup is isomorphic to the ring of symmetric polynomials in $x_1^{\pm 1}…
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…
Grothendieck rings of periplectic Lie superalgebras
Mee Seong Im, Shifra Reif, Vera Serganova
We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup…