In mathematics, a Lie group (pronounced /liː/ LEE) is a group that is also a differentiable manifold, such that group multiplication and taking inverses are ... Simple Lie group · Representation of a Lie group · Sophus Lie · Circle group |
| Группа Ли |  |
Группой Ли над полем называется группа, снабжённая структурой дифференцируемого многообразия над, причём отображения и, определённые так:
,
являются гладкими. Википедия
A Lie group is a group of symmetries where the symmetries are continuous. A circle has a continuous group of symmetries. |
(1) ˜H is a Lie group, and i is a morphism of Lie groups. (2) h = i∗(T1. ˜H) is a Lie subalgebra in g (it will be denoted by Lie(H)). (3) If H = i( ˜H) is ... |
10 сент. 2024 г. · A Lie group is a smooth manifold whose underlying set of elements is equipped with the structure of a group such that the group multiplication ... |
Videolar Lie algebras are closely related to Lie groups, which are groups that are also smooth manifolds: every Lie group gives rise to a Lie algebra, which is the ... Lie group · Glossary of Lie groups and Lie... · Sophus Lie · Affine Lie algebra |
20 февр. 2011 г. · Lie group - smoothly varying families of symmetries. A differentiable (locally smooth) manifold whereby the group operations are compatible with the smooth ... |
Lie groups are geometrical objects whose structure can be described conveniently in terms of group actions and fiber bundles. Therefore our point of view is ... |
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