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Journal of Mathematical Physics / Volume 24 / Issue 1

J. Math. Phys. 24, 8 (1983); http://dx.doi.org/10.1063/1.525606 (6 pages)

Type‐adapted subduction matrices

P. Kasperkovitz

Institut für Theoretische Physik, Technische Universität, A‐1040 Wien, Karlsplatz 13, Austria

(Received 7 August 1981; accepted 16 September 1981)

If an irreducible representation is restricted to a subgroup it becomes reducible in general. The matrices transforming this reducible representation into a direct sum of irreducible constituents are called subduction matrices. Their structure is discussed for real, complex, and quaternionic representations where all these representations are assumed to show a peculiar structure characteristic for the type of this representation (character test +, 0, −). The choice of these type‐adapted representations, a convention possible for all compact groups, considerably reduces the number of parameters needed to fix a subduction matrix.

KEYWORDS and PACS

Keywords

irreducible representations, symmetry groups, transformations, matrices

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.525606

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    P. Kasperkovitz, “Type-adapted representations of semidirect product groups,” J. Math. Phys. 24, 1 (1983JMAPAQ000024000001000001000001), preceding paper.

    S. Schindler and R. Mirman, J. Math. Phys. 18, 1678 (1977JMAPAQ000018000008001678000001).

    R. Dirl, J. Math. Phys. 20, 659 (1979JMAPAQ000020000004000659000001).

    P. Kasperkovitz, J. Math. Phys. 22, 2417 (1981JMAPAQ000022000011002417000001).

    P. Kasperkovitz and G. Kahl, J. Math. Phys. 22, 2404 (1981JMAPAQ000022000011002404000001).



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