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

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Jean-Pierre Serrecal manifestations of black holes are given.Avoids unnecessa.This book is based on the lecture notes of a one-semester course on black hole astrophysics given  by the author and is aimed at advanced undergraduate and graduate students with an interest in astrophysics. .The material included goes bey

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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 bas

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Induced representations; Mackey’s criterion (cf. 3.3) that the module V (or the representation V) is said to be . by W if we have V = ⊕.W, i.e., if V is a direct sum of the images .W, . E R (a condition which is independent of the choice of R). This property can be reformulated in the following way: Let .be the C[G]-module obtained from W by

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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.)*.

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