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Factor Algebras of Signed Brauer's Algebras

Chelliah Selvaraj
경북대학교 자연과학대학 수학과|2007.12|Kyungpook Mathematical Journal|제47권 제4호|pp. 549-568

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Abstract

In this paper we obtain a decomposition of certain factors of the signedBrauer algebra into a direct sum of simple algebras and we obtain the structure of thefactor algebra.

참고문헌 (10)

  1. "On algebras which are connected with the semisimple continuous groups", pp.854~872 (1937), 568 CHELLIAH SELVARAJ
  2. "An algebra related to the orthogonal group", pp.1~22 (1955)
  3. "Ann of Math", pp.324~335 (1956)
  4. "Dimensions of irreducible representations of the classicalLie groups", pp.2317~2328 (1979)
  5. "Representation Theory of the Symmetric Group Encyclo-pedia of Mathematics and its applications" (1981), Publishing Company
  6. "A ribbon Hopf algebra approach to the irreducible representa-tions of centralizer algebras : The Brauer, Birman-Wenzl and Type A Iwahori-Heckealgebras", 125, pp.1~94 (1997)
  7. "On the representations of generalized Symmeteric groups", pp.39~56 (1954), Okayama Univ
  8. "Signed Brauer's Algebras", 26(3), pp.839~855 (1998)
  9. "Note on Signed Brauer's Algebras", 27, pp.883~898 (2004)
  10. "Characters of Signed Brauer's Algebras", 30, pp.495~514 (2006)

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