3 citations · 9 across the 13 of their papers we have counts for
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Pieri algebras for the orthogonal and symplectic groups
Sangjib Kim, Soo Teck Lee
We study the structure of a family of algebras which encodes a generalization of the Pieri Rule for the complex orthogonal group. In particular, we show that each of these algebras…
On Kostant's partial order on hyperbolic elements
Huajun Huang, Sangjib Kim
We study Kostant's partial order on the elements of a semisimple Lie group in relations with the finite dimensional representations. In particular, we prove the converse statement…
Row Convex Tableaux and Bott-Samelson Varieties
Philip Foth, Sangjib Kim
By using row convex tableaux, we study the section rings of Bott-Samelson varieties of type A. We obtain flat deformations and standard monomial type bases of the section rings. In…
The nullcone in the multi-vector representation of the symplectic group and related combinatorics
Sangjib Kim
We study the nullcone in the multi-vector representation of the symplectic group with respect to a joint action of the general linear group and the symplectic group. By extracting…