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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Relative invariants of some 2-simple prehomogeneous vector spaces
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by Takeyoshi Kogiso, Go Miyabe, Miyuki Kobayashi and Tatsuo Kimura PDF
Math. Comp. 72 (2003), 865-889 Request permission

Abstract:

In this paper, we shall construct explicitly irreducible relative invariants of two 2-simple prehomogeneous vector spaces. Together with a preprint by the same authors, this completes the list of all relative invariants of regular 2-simple prehomogeneous vector spaces of type I.
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Additional Information
  • Takeyoshi Kogiso
  • Affiliation: The Department of Mathematics, Josai University, Saitama, 305-0295, Japan
  • Email: kogiso@math.josai.ac.jp
  • Go Miyabe
  • Affiliation: The Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan
  • Email: subaru@first.tsukuba.ac.jp
  • Miyuki Kobayashi
  • Affiliation: The Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan
  • Email: miyuki@math.tsukuba.ac.jp
  • Tatsuo Kimura
  • Affiliation: The Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan
  • Email: kimurata@math.tsukuba.ac.jp
  • Received by editor(s): April 20, 2000
  • Received by editor(s) in revised form: May 29, 2001
  • Published electronically: October 18, 2002
  • © Copyright 2002 American Mathematical Society
  • Journal: Math. Comp. 72 (2003), 865-889
  • MSC (2000): Primary 11S05, 11S90
  • DOI: https://doi.org/10.1090/S0025-5718-02-01470-9
  • MathSciNet review: 1954972