最低点
发表于 2025-3-25 07:06:27
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知道
发表于 2025-3-25 09:02:47
ExamplesThis is the group of order n consisting of the powers 1, ., ..., . of an element . such that . = 1. It can be realized as the group of rotations through angles 2./. around an axis. It is an abelian group.
BAIL
发表于 2025-3-25 12:32:05
The group algebraLet G be a group of finite order g, and let K be a commutative ring. We denote by K the . G . K; this algebra has a basis indexed by the elements of G, and most of the time we identify this basis with G. Each element . of K can then be uniquely written in the form . and multiplication in K extends that in G.
crockery
发表于 2025-3-25 18:21:07
Examples of induced representations A . G, .: G → .(V) . G. .:
高调
发表于 2025-3-25 21:57:33
A theorem of BrauerLet . be an element of a finite group G. We say that . is a . (or is .) if . has order a power of .; we say that x is a . (or is .) if its order is prime to ..
救护车
发表于 2025-3-26 02:12:55
Applications of Brauer’s theoremLet B be a subring of C and let G be a finite group.
inculpate
发表于 2025-3-26 08:20:32
Rationality questionsSo far we have only studied representations defined over the field C of complex numbers. In fact, all the proofs of the preceding sections still hold over an . field of characteristic zero, for example, an algebraic closure of .. Now we are going to see what happens for fields which are not algebraically closed.
Amylase
发表于 2025-3-26 08:32:32
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高贵领导
发表于 2025-3-26 15:00:32
The , triangleWe shall define homomorphisms .,., and . which form a commutative triangle:
GROVE
发表于 2025-3-26 17:59:48
Jean-Pierre Serree key element for any business initiation and development. The limited access to finance is the common problem of any start-up or SME. However, innovative sectors (such as biotech) have more financing options in the early stages (such as venture capital, business angels, investment funds, mezzanine