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A Length Function and Admissible Diagrams for Complex Reflection Groups G(m,1,n)

Himmet Can
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 191-198

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주제분류수학

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Abstract

In this paper, we introduce a length function for elements of the imprimitive complex reflection group G(m;1;n) and study its properties. Furthermore, we show that every conjugacy class of G(m;1;n) can be represented by an admissible diagram. The corresponding results for Weyl groups are well known.

참고문헌 (10)

  1. "Representations of the generalized symmetric groups", 37(2), pp.289~307 (1996)
  2. "Representations of the imprimitive complex reection groupsG", 26(8), pp.2371~2393 (1998)
  3. "Some combinatorial results for complex reection groups", 19, pp.901~909 (1998)
  4. "A computer program for obtaining subsystems", 58, pp.257~269 (2001)
  5. "Subsystems of the complex root systems" (2004)
  6. "Conjugacy classes in the Weyl group", 25, pp.159~ (1972)
  7. "Ann. Scient. Ec. Norm. Sup.", 4 9 (1976)
  8. "The Schur multiplier of the generalized symmetricgroup", 8 (1974)
  9. "J. Algebra", 45 2 (1977)
  10. "Di？？erential equations invariant under finite reflection groups" (1964)

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