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pro vyhledávání: '"Nam, Sun‐Young"'
Let $\mathrm{Int}(n)$ denote the set of nonempty left weak Bruhat intervals in the symmetric group $\mathfrak{S}_n$. We investigate the equivalence relation $\overset{D}{\simeq}$ on $\mathrm{Int}(n)$, where $I \overset{D}{\simeq} J$ if and only if th
Externí odkaz:
http://arxiv.org/abs/2412.08413
In this paper, we explore the relationship between quasisymmetric Schur $Q$-functions and peak Young quasisymmetric Schur functions. We introduce a bijection on $\mathsf{SPIT}(\alpha)$ such that $\{\mathrm{w}_{\rm c}(T) \mid T \in \mathsf{SPIT}(\alph
Externí odkaz:
http://arxiv.org/abs/2405.05867
Autor:
Le, Linh Thi Thuy, Chien, Pham Ngoc, Trinh, Thuy-Tien Thi, Seo, Ji-Won, Giang, Nguyen Ngan, Nga, Pham Thi, Zhang, Xin Rui, Jin, Yong Xun, Nam, Sun-Young, Heo, Chan-Yeong
Publikováno v:
In Life Sciences 15 January 2025 361
Let $n$ be a nonnegative integer. For each composition $\alpha$ of $n$, Berg $\textit{et al.}$ introduced a cyclic indecomposable $H_n(0)$-module $\mathcal{V}_\alpha$ with a dual immaculate quasisymmetric function as the image of the quasisymmetric c
Externí odkaz:
http://arxiv.org/abs/2201.13252
Autor:
Zhang, Xin Rui, Trinh, Thuy-Tien Thi, Chien, Pham Ngoc, Giang, Nguyen Ngan, Zhou, Shu Yi, Nam, Sun Young, Heo, Chan Yeong
Publikováno v:
In Heliyon 15 August 2024 10(15)
Let $\alpha$ be a composition of $n$ and $\sigma$ a permutation in $\mathfrak{S}_{\ell(\alpha)}$. This paper concerns the projective covers of $H_n(0)$-modules $\mathcal{V}_\alpha$, $X_\alpha$ and $\mathbf{S}^\sigma_{\alpha}$, which categorify the du
Externí odkaz:
http://arxiv.org/abs/2008.06830
We study the $H_n(0)$-module $\mathbf{S}^\sigma_\alpha$ due to Tewari and van Willigenburg, which was constructed using new combinatorial objects called standard permuted composition tableaux and decomposed into cyclic submodules. First, we show that
Externí odkaz:
http://arxiv.org/abs/2003.11225
Akademický článek
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Autor:
Lee, Seohui, Lee, Sang Min, Lee, Sang Hyun, Choi, Woong-Ku, Park, Sung-Jun, Kim, Do Yeon, Oh, Sae Woong, Oh, Jieun, Cho, Jae Youl, Lee, Jongsung, Chien, Pham Ngoc, Nam, Sun Young, Heo, Chan Yeong, Lee, Yoon-Sik, Kwak, Eun-A, Chung, Woo-Jae
Publikováno v:
In Acta Biomaterialia December 2023 172:159-174
We investigate chromatic symmetric functions in the relation to the algebra $\Gamma$ of symmetric functions generated by Schur $Q$-functions. We construct natural bases of $\Gamma$ in terms of chromatic symmetric functions. We also consider the $p$-p
Externí odkaz:
http://arxiv.org/abs/1907.09722