一类非遗传代数的态射范畴的李代数
Lie Algebras Arising from Morphism Categories of Certain Nonhereditary Algebras
DOI: 10.12677/pm.2025.1510252, PDF,    科研立项经费支持
作者: 冉玲玲：福州大学数学与统计学院，福建 福州
关键词: Hall代数；态射范畴；李代数；非遗传代数；Hall Algebra； Morphism Category； Lie Algebra； Nonhereditary Algebra
摘要: 设A是一类特定的非遗传代数，是投射A-模的态射范畴。本文证明了存在Hall多项式，给出其退化Hall李代数的乘法公式，由此实现了Heisenberg李代数的第n个中心扩张的商。
Abstract: In this paper, we establish the existence of Hall polynomials for when is the full subcategory of projective A-modules, where A is a certain nonhereditary algebra. We then derive multiplication formulas for the degenerate Hall Lie algebra, which is spanned by the isomorphismclasses of indecomposable objects in .
文章引用：冉玲玲. 一类非遗传代数的态射范畴的李代数[J]. 理论数学, 2025, 15(10): 94-101. https://doi.org/10.12677/pm.2025.1510252

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