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Elements of Representation Theory

  • K. N. Srinivasa Rao
Part of the Texts and Readings in Physical Sciences book series

Abstract

Let G be a group. A group D of square matrices of order n which is homomorphic to G is said to provide an n-dimensional linear representation or a matrix representation of G. One usually calls it simply a representation of G. Thus, if g1Ag1, g2Ag2 under the mapping where g1, g2G and Ag1 Ag2D, we demand that
$${g_1}{g_2} \to {A_{g1}}{A_{g2}}$$
(4.1.1)
.

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References

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    H. Boerner, Representations of groups; with special consideration for the needs of modern physics, [2d rev. ed.], Amsterdam, North-Holland Pub. Co., 1970.zbMATHGoogle Scholar
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    Morton Hamermesh, Group theory and its application to physical problems, New York, Dover Publications, 1989.zbMATHGoogle Scholar
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    F.D. Murnaghan, The Theory of group representations, New York, Dover Publications, 1963, (c1938).zbMATHGoogle Scholar
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    E.P. Wigner, Group theory and its application to the quantum mechanics of atomic spectra, (Translated from the German by J.J. Griffin), New York, Academic Press, 1959.zbMATHGoogle Scholar
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    B.L. Van der Waerden, Modern algebra, (In part a development from lectures by E. Artin and E. Noether) New York, F. Ungar, c1950–c1953Google Scholar

Copyright information

© Hindustan Book Agency 2006

Authors and Affiliations

  • K. N. Srinivasa Rao
    • 1
  1. 1.BangaloreIndia

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