Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Manin Triples and Bialgebras of Left-Alia Algebras Associated with Invariant Theory

Published:2024-01-26 Issue:3 Volume:12 Page:408
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Kang Chuangchuang¹,Liu Guilai²,Wang Zhuo³,Yu Shizhuo³

Affiliation:

1. School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

2. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China

3. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300317, China

Abstract

A left-Alia algebra is a vector space together with a bilinear map satisfying the symmetric Jacobi identity. Motivated by invariant theory, we first construct a class of left-Alia algebras induced by twisted derivations. Then, we introduce the notions of Manin triples and bialgebras of left-Alia algebras. Via specific matched pairs of left-Alia algebras, we figure out the equivalence between Manin triples and bialgebras of left-Alia algebras.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/3/408/pdf

Reference30 articles.

1. Ueber die Theorie der algebraischen Formen;Hilbert;Math. Ann.,1890

2. Invariants of finite groups generated by reflections;Chevalley;Am. J. Math.,1955

3. Finite unitary reflection groups;Shephard;Can. J. Math.,1954

4. Deformations of Lie algebras using σ-derivations;Hartwig;J. Algebra,2016

5. Algebras with skew-symmetric identity of degree 3;J. Math. Sci.,2009

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP