6533b7defe1ef96bd12764fc

RESEARCH PRODUCT

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

Josep PlanellesClaudio M. Zicovich-wilson

subject

Pure mathematicsGroup (mathematics)Generalized projectionCondensed Matter PhysicsSpace (mathematics)Atomic and Molecular Physics and OpticsGroup representationSimple (abstract algebra)Representation theory of SUIrreducible representationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONPhysical and Theoretical ChemistrySymmetry (geometry)Mathematics

description

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.

https://doi.org/10.1002/qua.560470405