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pro vyhledávání: '"Zhang, Hechun"'
Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations
Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matrix. We also obtain lower bounds on the size of such matrices and discu
Externí odkaz:
http://arxiv.org/abs/2407.03560
This paper is devoted to the representation theory of quantum coordinate algebra $\mathbb{C}_q[G]$, for a semisimple Lie group $G$ and a generic parameter $q$. By inspecting the actions of normal elements on tensor modules, we generalize a result of
Externí odkaz:
http://arxiv.org/abs/2205.06418
We study automorphisms and representations of quasi polynomial algebras (QPAs) and quasi Laurent polynomial algebras (QLPAs). For any QLPA defined by an arbitrary skew symmetric integral matrix, we explicitly describe its automorphism groups at gener
Externí odkaz:
http://arxiv.org/abs/2203.00208
Autor:
Su, Yingxiao, He, Siqi, Chen, Qian, Zhang, Hechun, Huang, Chang, Zhao, Qian, Pu, Yabin, He, Xiaohong, Jiang, Lin, Ma, Yuehui, Zhao, Qianjun
Publikováno v:
In Genomics May 2024 116(3)
Akademický článek
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Let $U_q(\mathfrak{g})$ be the quantum supergroup of $\mathfrak{gl}_{m|n}$ or the modified quantum supergroup of $osp_{m|2n}$ over the field of rational functions in $q$, and let $V_q$ be the natural module for $U_q(\mathfrak{g})$. There exists a uni
Externí odkaz:
http://arxiv.org/abs/1602.04885
Autor:
Wu, Dan1 (AUTHOR) wudan@sztu.edu.cn, Zhang, Hechun1 (AUTHOR), Liu, Haochen2 (AUTHOR), Li, Wenhui2 (AUTHOR), Xiao, Xiangtian2 (AUTHOR), Shi, Kanming2 (AUTHOR), Ye, Taikang2 (AUTHOR), Sun, Jiayun2 (AUTHOR), Lin, Zhaowen1 (AUTHOR), Liu, Jing1 (AUTHOR), Qiu, Mingxia1 (AUTHOR), Ko Ko Kyaw, Aung2 (AUTHOR), Wang, Kai2 (AUTHOR)
Publikováno v:
Molecules. Oct2022, Vol. 27 Issue 19, p6223. 12p.
Autor:
Li, Bin, Zhang, Hechun
Given a quantized enveloping algebra $U_q(\mathfrak g)$ and a pair of dominant weights ($\lambda$, $\mu$), we extend a conjecture raised by Lusztig in \cite{Lusztig:1992}to a more general form and then prove this extended Lusztig's conjecture. Namely
Externí odkaz:
http://arxiv.org/abs/1003.5416
Autor:
Li, Bin, Zhang, Hechun
Some filtrations of the tensor product of a highest weight module and a lowest weight module over quantum group $U_q(\mathfrak g)$ are constructed in \cite{LZ:2009} and one can use them to define some ideals of the modified quantized enveloping algeb
Externí odkaz:
http://arxiv.org/abs/1002.4701
Autor:
Jakobsen, Hans Plesner, Zhang, Hechun
A family of quantum cluster algebras is introduced and studied. In general, these algebras are new, but subclasses have been studied previously by other authors. The algebras are indexed by double partitions or double flag varieties. Equivalently, th
Externí odkaz:
http://arxiv.org/abs/1002.2526