难管 发表于 2025-3-23 12:08:43

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CHECK 发表于 2025-3-23 16:44:42

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滔滔不绝的人 发表于 2025-3-23 21:48:25

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讽刺滑稽戏剧 发表于 2025-3-24 01:09:23

Generalities on linear representations linear mapping of V into V which has an inverse a.; this inverse is linear. When V has a finite basis (.) of n elements, each linear map .: V → V is defined by a square matrix (.) of order .. The coefficients . are complex numbers; they are obtained by expressing the images .(.) in terms of the basis (.):

Palate 发表于 2025-3-24 04:02:52

Artin’s theoremombination of the .’s with non-negative integer coefficients. We will denote by R. (G) the set of these functions, and by R(G) the group generated by R.(G), i.e., the set of differences of two characters. We have

不愿 发表于 2025-3-24 07:28:04

Rationality questions: examplesbers, and let .(.) be the field obtained by adjoining the .th roots of unity to .. The Galois group of .(.) over . is the group denoted Γ. in 12.4; it is a subgroup of the group (./.)*. In fact:. (Gauss). . Γ. = (./m.)*.

Valves 发表于 2025-3-24 12:33:14

https://doi.org/10.1007/978-1-4684-9458-7Darstellung (Math; ); Endliche Gruppe; Finite; algebra; character theory; mathematics; proof; theorem

paradigm 发表于 2025-3-24 15:25:54

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Exposition 发表于 2025-3-24 22:01:23

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Barrister 发表于 2025-3-25 02:30:32

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查看完整版本: Titlebook: Linear Representations of Finite Groups; Jean-Pierre Serre Textbook 1977 Springer Science+Business Media New York 1977 Darstellung (Math.