3 citations · 9 across the 13 of their papers we have counts for
13 papers
Hibi algebras and representation theory
Sangjib Kim, Victor Protsak
This paper gives a survey on the relation between Hibi algebras and representation theory. The notion of Hodge algebras or algebras with straightening laws has been proved to be ve…
On the structures of hive algebras and tensor product algebras for general linear groups of low rank
Donggyun Kim, Sangjib Kim, Euisung Park
The tensor product algebra TA(n) for the complex general linear group GL(n), introduced by Howe et al., describes the decomposition of tensor products of irreducible polynomial rep…
A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra
Cheonho Choi, Sangjib Kim, HaeYun Seo
We first present a filtration on the ring L of Laurent polynomials such that the direct sum decomposition of its associated graded ring gr L agrees with the direct sum decompositio…
Tiling branching multiplicity spaces with GL2 pattern blocks
Sangjib Kim
We study branching multiplicity spaces of complex classical groups in terms of GL(2) representations. In particular, we show how combinatorics of GL(2) representations are intertwi…
The Littlewood-Richardson rule and Gelfand-Tsetlin patterns
Patrick Doolan, Sangjib Kim
We give a survey on the Littlewood-Richardson rule. Using Gelfand-Tsetlin patterns as the main machinery of our analysis, we study the interrelationship of various combinatorial de…
Quivers, Invariants and Quotient Correspondence
Yi Hu, Sangjib Kim
This paper studies the geometric and algebraic aspects of the moduli spaces of quivers of fence type. We first provide two quotient presentations of the quiver varieties and interp…