DOLT
发表于 2025-3-23 13:37:59
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overture
发表于 2025-3-23 14:49:40
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有罪
发表于 2025-3-23 19:09:13
https://doi.org/10.1007/978-1-4684-0093-9Groups; Matrizengruppe; algebra; clifford algebra; field; group theory; homomorphism; lie algebra; lie group
有其法作用
发表于 2025-3-24 02:02:18
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jungle
发表于 2025-3-24 04:08:37
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GRIEF
发表于 2025-3-24 08:09:13
Homomorphisms,We are going to define our first invariant of a matrix group, its .. Matrix groups whose dimensions are different can’t be isomorphic. The dimension of a matrix group is going to be the dimension of its space of tangent vectors (a vector space), so we first define these.
arboretum
发表于 2025-3-24 10:40:33
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词根词缀法
发表于 2025-3-24 15:42:50
SO(3) and Sp(1),We have seen that Sp(1), which is all quaternions of unit length, is just the unit 3-sphere in R. ( = ℍ). Also we have seen that dim . So dimension won’t distinguish S. from SO(3), and, for all we know now, they might be isomorphic. In this section we define and study an “almost isomorphism” between them.
GREEN
发表于 2025-3-24 22:04:30
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领先
发表于 2025-3-24 23:21:17
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