Zobrazeno 1 - 10
of 3 474
pro vyhledávání: '"Shu, Bin"'
In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism $\varphi$
Externí odkaz:
http://arxiv.org/abs/2401.11072
As a sequel to [Duan-Shu-Yao], we introduce here a category $\mathscr{LC}$ arising from the BGG category $\mathcal{O}$ defined in [Duan-Shu-Yao] for Lie algebras of polynomial vector fields. The objects of $\mathscr{LC}$ are so-called Lie-Cartan modu
Externí odkaz:
http://arxiv.org/abs/2401.11071
The purpose of this paper is double. One is to introduce defining sequences which are a kind of new descriptions of fundamental root systems for classical Lie superalgebras of type $A,B,C$ and $D$. The other one is to describe the Coxeter systems for
Externí odkaz:
http://arxiv.org/abs/2401.11068
Autor:
Shu, Bin
Suppose $g=g_0+g_1$ is a finite-dimensional restricted Lie superalgebra over an algebraically closed field $k$ of characteristic $p>2$. In this article, we propose a conjecture for maximal dimensions of irreducible modules over the universal envelopi
Externí odkaz:
http://arxiv.org/abs/2312.08666
As a sequel to [14], in this article we first introduce a so-called duplex Hecke algebras of type B which is a Q(q)-algebra associated with the Weyl group W (B) of type B, and symmetric groups S_l for l = 0, 1, . . . ,m, satisfying some Hecke relatio
Externí odkaz:
http://arxiv.org/abs/2312.06214
Suppose $\mathfrak{g}=\mathfrak{g}_{\bar 0}+\mathfrak{g}_{\bar 1} is a Lie superalgebra of queer type or periplectic type over an algebraically closed field $\textbf{k}$ of characteristic $p>2$. In this article, we initiate preliminarily to investiga
Externí odkaz:
http://arxiv.org/abs/2307.00483
Autor:
Fioresi, Rita, Shu, Bin
We investigate pairs (G,Y ), where G is a reductive algebraic group and Y a purely-odd G-superscheme, asking when a pair corresponds to a quasi-reductive algebraic supergroup G, that is, Gevis isomorphic to G, and the quotient G/Gevis G-equivariantly
Externí odkaz:
http://arxiv.org/abs/2303.18065
Autor:
Wanwalee Kongjarat, Lu Han, Amy Ny Aina Aritsara, Shu-Bin Zhang, Gao-Juan Zhao, Yong-Jiang Zhang, Phisamai Maenpuen, Ying-Mei Li, Yi-Ke Zou, Ming-Yi Li, Xue-Nan Li, Lian-Bin Tao, Ya-Jun Chen
Publikováno v:
Plant Diversity, Vol 46, Iss 3, Pp 406-415 (2024)
Bamboo plants are an essential component of tropical ecosystems, yet their vulnerability to climate extremes, such as drought, is poorly understood due to limited knowledge of their hydraulic properties. Cephalostachyum pergracile, a commonly used tr
Externí odkaz:
https://doaj.org/article/8b53dc9a9b7a429ca2285e0bde21ffad
Autor:
Li, Yiyang, Shu, Bin
Let $G=GL(m|n)$ be a general linear supergroup over an algebraically closed field $k$ of odd characteristic $p$. In this paper we construct Jantzen filtration of Weyl modules $V(\lambda)$ of $G$ when $\lambda$ is a typical weight in the sense of Kac'
Externí odkaz:
http://arxiv.org/abs/2209.00963
Autor:
Zeng, Yang, Shu, Bin
Let $\mathfrak{g}=\mathfrak{g}_{\bar0}+\mathfrak{g}_{\bar1}$ be a basic classical Lie superalgebra over $\mathbb{C}$, and $e=e_{\theta}\in\mathfrak{g}_{\bar0}$ with $-\theta$ being a minimal root of $\mathfrak{g}$. Set $U(\mathfrak{g},e)$ to be the m
Externí odkaz:
http://arxiv.org/abs/2209.00921