Representations of Finite Groups

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


Let G be a finite group of order h. We first recall that an operator α is said to be unitary with respect to a scalar product (x, y) if it satisfies the condition
$$\left( {\alpha x,\alpha y} \right) = \left( {x,y} \right){\text{for all }}x,y$$
of Eq. (3.15.17) and that a unitary operator α is represented by a unitary matrix relative to a basis e which is orthonormal with respect to the given scalar product, as observed at the end of section (3.15).


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    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
  2. 2.
    Morton Hamermesh, Group theory and its application to physical problems, New York, Dover Publications, 1989.zbMATHGoogle Scholar
  3. 3.
    F.D. Murnaghan, The Theory of group representations, New-York, Dover Publications, 1963, (c1938).zbMATHGoogle Scholar
  4. 4.
    B.L. Van der Waerden, Modern algebra vols I,II, (In part a development from lectures by E. Artin and E. Noether) New York, F. Ungar, c1950–c1953Google Scholar
  5. 5.
    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

Copyright information

© Hindustan Book Agency 2006

Authors and Affiliations

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

Personalised recommendations