Elementary divisors of Cartan matrices for symmetric groups

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Abstract

In this paper, we give an easy description of the elementary divisors of the Cartan matrices for symmetric groups in terms of the lengths of <i>p</i>-regular partitions and their Glaisher correspondents. Moreover, for <i>p</i>=2, it is done block wise. There we use certain kinds of cores and weights, which are similar to but different from the usual ones.

Journal

  • Journal of the Mathematical Society of Japan

    Journal of the Mathematical Society of Japan 58(4), 1031-1036, 2006-10-01

    The Mathematical Society of Japan

References:  8

Codes

  • NII Article ID (NAID)
    10018380794
  • NII NACSIS-CAT ID (NCID)
    AA0070177X
  • Text Lang
    ENG
  • Article Type
    ART
  • ISSN
    00255645
  • NDL Article ID
    8512836
  • NDL Source Classification
    ZM31(科学技術--数学)
  • NDL Call No.
    Z53-A209
  • Data Source
    CJP  NDL  J-STAGE 
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