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

Fischler, M

doi:10.1063/1.524969

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

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Abstract

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.

Authors:: Fischler, M

Publication Date:: Wed Apr 01 00:00:00 EST 1981

Research Org.:: Fermi National Accelerator Laboratory, Batavia, Illinois 60510

OSTI Identifier:: 6529332

Resource Type:: Journal Article

Journal Name:: J. Math. Phys. (N.Y.); (United States)

Additional Journal Information:: Journal Volume: 22:4

Country of Publication:: United States

Language:: English

Subject:: 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; SO GROUPS; IRREDUCIBLE REPRESENTATIONS; SP GROUPS; SU GROUPS; CASIMIR OPERATORS; GROUP THEORY; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; SYMMETRY GROUPS; 990200* - Mathematics & Computers

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                    Fischler, M. Young--tableau methods for Kronecker products of representations of the classical groups.  United States: N. p., 1981. 
        Web.  doi:10.1063/1.524969.

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                    Fischler, M. Young--tableau methods for Kronecker products of representations of the classical groups.  United States.  https://doi.org/10.1063/1.524969

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                    Fischler, M. 1981.  
        "Young--tableau methods for Kronecker products of representations of the classical groups".  United States.  https://doi.org/10.1063/1.524969.

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@article{osti_6529332,

  title        = {Young--tableau methods for Kronecker products of representations of the classical groups},

  author       = {Fischler, M},

  abstractNote = {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.},

  doi          = {10.1063/1.524969},

  url          = {https://www.osti.gov/biblio/6529332},
  journal      = {J. Math. Phys. (N.Y.); (United States)},
number       = ,

  volume       = 22:4,

  place        = {United States},

  year         = {Wed Apr 01 00:00:00 EST 1981},

  month        = {Wed Apr 01 00:00:00 EST 1981}

}

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