Zobrazeno 1 - 10
of 218
pro vyhledávání: '"Zhang, Runxuan"'
Autor:
Chen, Yin, Zhang, Runxuan
We develop a new cohomology theory for finite-dimensional left-symmetric color algebras and their finite-dimensional bimodules, establishing a connection between Lie color cohomology and left-symmetric color cohomology. We prove that the cohomology o
Externí odkaz:
http://arxiv.org/abs/2408.04033
Autor:
Ren, Shan, Zhang, Runxuan
We study connections between skew-symmetric solutions of the classical Yang-Baxter equation (CYBE) and $\mathcal{O}$-operators of Malcev algebras. We prove that a skew-symmetric solution of the CYBE on a Malcev algebra can be interpreted as an $\math
Externí odkaz:
http://arxiv.org/abs/2402.08489
Autor:
Chen, Yin, Zhang, Runxuan
We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's formula to compute all possible shape enumerators. We also explicitly
Externí odkaz:
http://arxiv.org/abs/2401.10470
This paper studies super $r$-matrices and operator forms of the super classical Yang-Baxter equation. First by a unified treatment, the classical correspondence between $r$-matrices and $\mathcal{O}$-operators is generalized to a correspondence betwe
Externí odkaz:
http://arxiv.org/abs/2309.04808
To begin with, we study $\mathcal{O}$-operators of pre-Malcev and symmetric solutions of the analogue classical Yang-Baxter equation(CYBE). We show that a symmetric solution of the analogue CYBE can be interpreted as an $\mathcal{O}$-operator associa
Externí odkaz:
http://arxiv.org/abs/2208.11841
Autor:
Dimitrov, Ivan, Zhang, Runxuan
In this paper, we study the existence and classification problems of left-symmetric superalgebras on special linear Lie superalgebras ${\mathfrak{sl}}(m|n)$ with $m\neq n$. The main three results of this paper are: (i) a complete classification of th
Externí odkaz:
http://arxiv.org/abs/2208.06502
Autor:
Zhan, Jiwei, Nie, Ruixing, Zhang, Runxuan, Tang, Chaoxian, Zhao, Feng, Chen, Zijun, Huang, Shenyi, Cao, Sicheng, Chen, Jin-hui, Song, Zhengyong
Publikováno v:
In Results in Physics September 2024 64
Publikováno v:
In Results in Physics May 2024 60
Autor:
Shan, Jiawen, Zhang, Runxuan
We investigate connections between $\mathcal {O}$-operators of Poisson superalgebras and skew-symmetric solutions of the Poisson Yang-Baxter equation (PYBE). We prove that a skew-symmetric solution of the PYBE on a Poisson superalgebra can be interpr
Externí odkaz:
http://arxiv.org/abs/2103.02064
Publikováno v:
Electronic Research Archive 29 (2021) 2457--2473
We initiate a study on a range of new generalized derivations of finite-dimensional Lie algebras over an algebraically closed field of characteristic zero. This new generalization of derivations has an analogue in the theory of associative prime ring
Externí odkaz:
http://arxiv.org/abs/2011.01896