Seung-Il Choi

activity

20162020

collaborators

4 papers

math.RT2020

The projective cover of tableau-cyclic indecomposable $H_{n} (0)$ -modules

Seung-Il Choi, Young-Hun Kim, Sun-Young Nam +1

Let $α$ be a composition of $n$ and $σ$ a permutation in $S_{ℓ (α)}$ . This paper concerns the projective covers of $H_{n} (0)$ -modules $V_{α}$ , $X_{α}$ and $\mathbf…

math.RT2017

Crystals and Schur $P$ -positive expansions

Seung-Il Choi, Jae-Hoon Kwon

We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur $P$ -functions by using the theory of $\mf{q}(n)$-crystals. We also give alternate proofs of th…

math.CO2017

Shifted tableau switchings and shifted Littlewood-Richardson coefficients

Seung-Il Choi, Sun-Young Nam, Young-Tak Oh

We provide two shifted analogues of the tableau switching process due to Benkart, Sottile, and Stroomer, the shifted tableau switching process and the modified shifted tableau swit…

math.RT2016

Lakshmibai-Seshadri paths and non-symmetric Cauchy identity

Seung-Il Choi, Jae-Hoon Kwon

We give a simple crystal theoretic interpretation of the Lascoux's expansion of a non-symmetric Cauchy kernel $\prod_{i + j \leq n + 1} (1 - x_{i} y_{j})^{- 1}$ , which is given in terms of Dema…

The projective cover of tableau-cyclic indecomposable Hn​(0)-modules

Crystals and Schur P-positive expansions

Shifted tableau switchings and shifted Littlewood-Richardson coefficients

Lakshmibai-Seshadri paths and non-symmetric Cauchy identity

The projective cover of tableau-cyclic indecomposable $H_{n} (0)$ -modules

Crystals and Schur $P$ -positive expansions