113 citations
- Seoul National UniversityKR4 papers
- Sungkyunkwan UniversityKR4 papers
- Ben-Gurion University of the NegevIL2 papers
- Ewha Womans UniversityKR2 papers
- Institute of Mathematics, Academia SinicaTW2 papers
- Korea Institute for Advanced StudyKR2 papers
- Soongsil UniversityKR2 papers
- Academia SinicaTW1 paper
- Chonnam National UniversityKR1 paper
- Daegu Catholic UniversityKR1 paper
- Institute for Basic ScienceKR1 paper
- Institute of PhysicsPL1 paper
5 papers · 1 filter
Demazure crystals of generalized Verma modules and a flagged RSK correspondence
Jae-Hoon Kwon
We prove that the Robinson-Schensted-Knuth correspondence is a $\gl_{\infty}$-crystal isomorphism between two realizations of the crystal graph of a generalized Verma module with r…
Howe duality and Kostant Homology Formula for infinite-dimensional Lie superalgebras
Shun-Jen Cheng, Jae-Hoon Kwon
Using Howe duality we compute explicitly Kostant-type homology groups for a wide class of representations of the infinite-dimensional Lie superalgebra $\hat{\frak{gl}}_{\infty|\inf…
A BGG-type resolution for tensor modules over general linear superalgebra
Shun-Jen Cheng, Jae-Hoon Kwon, Ngau Lam
We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear…
Crystal graphs for general linear Lie superalgebras and quasi-symmetric functions
Jae-Hoon Kwon
We give a new representation theoretic interpretation of the ring of quasi-symmetric functions. This is obtained by showing that the super analogue of the Gessel's fundamental quas…
A combinatorial proof of a Weyl type formula for hook Schur polynomials
Jae-Hoon Kwon
In this paper, we present a simple combinatorial proof of a Weyl type formula for hook Schur polynomials, which has been obtained by using a Kostant type cohomology formula for $\f…