CUR 发表于 2025-3-25 04:04:44
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Groups,This chapter begins by reviewing some basic group theory—subgroups, quotients, homomorphisms, and isomorphisms—in order to have a basis for discussing Lie groups in general and simple Lie groups in particular.allergy 发表于 2025-3-26 01:10:50
http://reply.papertrans.cn/67/6606/660570/660570_26.pngBIPED 发表于 2025-3-26 04:18:10
The exponential map,This line is (in a sense we explain below) the . to the circle at its identity element 1. And, in fact, any Lie group has a linear space (of the same dimension as the group) as its tangent space at the identity.peak-flow 发表于 2025-3-26 11:15:18
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http://reply.papertrans.cn/67/6606/660570/660570_29.pngerythema 发表于 2025-3-26 18:48:59
Topology,One of the essential properties of a Lie group . is that the product and inverse operations on . are . functions. Consequently, there comes a point in Lie theory where it is necessary to study the theory of continuity, that is, .. Our journey has now reached that point.