厌烦
发表于 2025-3-23 12:55:38
https://doi.org/10.1007/978-3-8350-9279-2Everywhere in this section, the term “ring” means by default a commutative ring with unit. All ring homomorphisms are assumed to map the unit to the unit.
ALIAS
发表于 2025-3-23 14:52:46
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大包裹
发表于 2025-3-23 20:12:45
https://doi.org/10.1007/978-3-8350-9279-2Everywhere in this chapter we assume by default that the ground field . is algebraically closed.
阻止
发表于 2025-3-23 22:14:45
https://doi.org/10.1007/978-3-8350-9279-2Recall that a field extension . is said to be . of . . if . has dimension . < . as a vector space over .. We write . in this case.
草本植物
发表于 2025-3-24 05:08:24
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conduct
发表于 2025-3-24 08:01:47
Tensor Algebras,Let . be a vector space over an arbitrary field .. We write . for the tensor product of . copies of . and call it the . of ..
牛马之尿
发表于 2025-3-24 11:11:03
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音的强弱
发表于 2025-3-24 17:40:56
Basic Notions of Representation Theory,Given a set . and a field ., let us write . for the vector space with basis . over .. It is formed by the formal linear combinations .. ⋅ . of elements . ∈ . with coefficients ., all but a finite number of which vanish. By definition, the . . spanned by the set . is the tensor algebra . of the vector space ..
性满足
发表于 2025-3-24 20:39:29
Representations of Finite Groups in Greater Detail,Everywhere in this section, we write by default . for an arbitrary finite group and . for an algebraically closed field such that ..
absolve
发表于 2025-3-25 02:26:29
-Modules,Everywhere in this section we assume by default that . is a field of characteristic zero.