超Virasoro代数上的Poisson超结构
Poisson Algebra Structures on the Super-Virasoro Algebra
DOI: 10.12677/AAM.2019.85106, PDF,    国家自然科学基金支持
作者: 麻晨晟, 王藩婷, 刘 东：湖州师范学院，理学院，浙江 湖州
关键词: Poisson超代数；Leibniz法则；超Virasoro代数；Super Poission Algebra； Leibniz Law； Super Virasoro Algebra
摘要: 超Virasoro代数是一类无限维李超代数，在共形量子场理论中具有重要作用。本文研究超Virasoro代数上的Poisson结构，主要得到如下结论：超Virasoro代数上的任意Poisson结构都是平凡的。本文研究对于研究其它超共型代数上的Poisson结构有一定帮助。
Abstract: Poisson algebras are algebras with an algebra structure and a Lie algebra structure, both of which satisfy the Leibniz law. Super Virasoro algebra is a kind of infinite dimensional Lie superalgebra, which plays an important role in the quantum field theory. This paper mainly studies the Poisson structure on the super Virasoro algebra.
文章引用：麻晨晟, 王藩婷, 刘东. 超Virasoro代数上的Poisson超结构[J]. 应用数学进展, 2019, 8(5): 937-942. https://doi.org/10.12677/AAM.2019.85106

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