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Original Articles

Fundamental Involutory Root Systems and a Branching Theorem for Symmetric Pairs

Pages 1012-1018 | Received 14 Aug 2008, Published online: 11 Mar 2010

REFERENCES

  • Han , G. ( 2006 ). A class of primary representations associated with symmetric pairs and restricted root systems . Pacific Journal of Math. 25 : 33 – 51 .
  • Han , G. , Sun , B. Y. ( 2007 ). Restricted root systems and spin representations . Algebr. Represent. Theory 10 : 463 – 469 .
  • Han , G. ( 2008 ). Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants . Journal of Algebra 319 : 1809 – 1821 .
  • Knapp , A. W. ( 2001 ). Branching theorems for compact symmetric spaces . Representation Theory 5 : 404 – 436 .
  • Kobayashi , T. ( 2005 ). Multiplicity-free representations and visible actions on complex manifolds . Publ. RIMS, Kyoto Univ. 41 : 497 – 549 .
  • Vogan , D. ( 1982 ). Irreducible characters of semisimple Lie groups IV . Duke Math. J. 49 : 943 – 1073 .
  • Communicated by A. Elduque.

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