难管 发表于 2025-3-23 12:08:43
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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; theoremparadigm 发表于 2025-3-24 15:25:54
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