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报告题目/Title
Lie brackets on affine spaces
报告人/Speaker
Tomasz Brzeziński (Swansea University and University of Bialystok)
报告时间/Time
2024年3月7日 20:00-22:00
报告地点/Venue
ZOOM ID：904 645 6677, Password：2024
会议链接/Link
删了
报告摘要/Abstract
We first explore the definition of an affine space which makes no reference to the underlying vector space and then formulate the notion of a Lie bracket and hence a Lie algebra on an affine space in this framework. Since an affine space has neither distinguished elements nor additive structure, the concepts of antisymmetry and Jacobi identity need to be modified. We provide suitable modifications and illustrate them by a number of examples from matrix algebra and geometry.
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FROM 202.120.11.*