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A simple proof for the formula to get symmetrized powers of group representations
Author(s) -
Planelles J.,
ZicovichWilson C. M.
Publication year - 1993
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.560470405
Subject(s) - irreducible representation , simple (philosophy) , group (periodic table) , mathematics , projection (relational algebra) , space (punctuation) , symmetry (geometry) , pure mathematics , group theory , symmetric group , algebra over a field , group representation , direct proof , combinatorics , physics , quantum mechanics , computer science , algorithm , geometry , philosophy , epistemology , operating system
A general formula to decompose the p ‐power of irreducible representations of an arbitrary space group into sum of sets of irreducible representations of such a group, having identical permutational symmetry, is presented. Its proof is based upon a straightforward application of the properties of the generalized projection (shift) operators. © 1993 John Wiley & Sons, Inc.