6 citations · 13 across the 12 of their papers we have counts for
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A short proof on the transition matrix from the Specht basis to the Kazhdan-Lusztig basis
Mee Seong Im
We provide a short proof on the change-of-basis coefficients from the Specht basis to the Kazhdan-Lusztig basis, using Kazhdan-Lusztig theory for parabolic Hecke algebra.
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}…
Transitioning between tableaux and spider bases for Specht modules
Mee Seong Im, Jieru Zhu
Regarding the Specht modules associated to the two-row partition , we provide a combinatorial path model to study the transitioning matrix from the tableau basis to the $A_1…
Irreducible components of two-row Springer fibers and Nakajima quiver varieties
Mee Seong Im, Chun-Ju Lai, Arik Wilbert
We give an explicit description of the irreducible components of two-row Springer fibers in type A as closed subvarieties in certain Nakajima quiver varieties in terms of quiver re…
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…
Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group
Mee Seong Im, Emily Norton
We construct an infinite tower of irreducible calibrated representations of periplectic Brauer algebras on which the cup-cap generators act by nonzero matrices. As representations…