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Title: Young--tableau methods for Kronecker products of representations of the classical groups

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.524969· OSTI ID:6529332

Diagrammatic methods for decomposing Kronecker products of arbitrary representations of any of the classical groups are presented. For convenience, efficient ways of computing the dimensions and quadratic Casimir's C/sub 2/(R) are also given. These methods seem more useful for hand calculations than the method of Schur functions (or characteristic polynomials). An appendix presents the Kronecker products for any two representations of dimension < or =100.

Research Organization:
Fermi National Accelerator Laboratory, Batavia, Illinois 60510
OSTI ID:
6529332
Journal Information:
J. Math. Phys. (N.Y.); (United States), Vol. 22:4
Country of Publication:
United States
Language:
English