A simple proof for the formula to get symmetrized powers of group representations | Zendy

Planelles J. | Zendy; ZicovichWilson C. M. | Zendy

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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.

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