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A theory for the construction of the irreducible representations of finite groups. II
Author(s) -
Blokker Esko
Publication year - 1973
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560070606
Subject(s) - irreducible representation , representation theory of su , eigenvalues and eigenvectors , group (periodic table) , representation (politics) , order (exchange) , finite group , mathematics , algebra over a field , representation theory of finite groups , irreducible element , group representation , finite element method , representation theory , group theory , restricted representation , pure mathematics , fundamental representation , physics , quantum mechanics , lie algebra , political science , law , thermodynamics , weight , finance , politics , economics
The restriction on a method for computing irreducible representations of finite groups, requiring that in the irreducible representation to be constructed, at least one group element has at least one nondegenerate eigenvalue, is removed. The method is thus shown to be applicable to an arbitrary finite group and constitutes a practical algorithm for handling groups of order less than 400.