Lie Groups pp 339-346 | Cite as

Branching Formulae and Tableaux

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)


If GH are groups, a branching rule is an explicit description of how representations of G decompose into irreducibles when restricted to H. By Frobenius reciprocity, this is equivalent to asking how representations of H decompose into irreducibles on induction to G. In this chapter, we will obtain the branching rule for the symmetric groups.


Irreducible Representation Irreducible Character Vertical Strip Standard Tableau Hook Length 


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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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