22 citations · 43 across the 10 of their papers we have counts for
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math.RT2008
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…
math.RT2008★ 12 cited
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…
math.RT2008★ 22 cited
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…