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math.RT2019
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}…
math.RT2019
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…
math.RT2019
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…