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Relative invariants of some 2-simple prehomogeneous vector spaces
Author(s):
Takeyoshi
Kogiso;
Go
Miyabe;
Miyuki
Kobayashi;
Tatsuo
Kimura.
Journal:
Math. Comp.
72
(2003),
865-889.
MSC (2000):
Primary 11S05, 11S90
Posted:
October 18, 2002
MathSciNet review:
1954972
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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.
References:
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- 2.
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- 3.
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- T. Kimura, S. Kasai, M. Inuzuka and O. Yasukura, A classification of 2-simple prehomogeneous vector spaces of type I, J. Algebra, 114, No. 2, (1988), 369-400. MR 89f:32062
- 10.
- T. Kogiso, G. Miyabe, M. Kobayashi and T. Kimura, Explicit construction of relative invariants for regular 2-simple prehomogeneous vector spaces of type I, preprint
- 11.
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- Mathematica, Wolfram Research Inc.
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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
DOI:
10.1090/S0025-5718-02-01470-9
PII:
S 0025-5718(02)01470-9
Received by editor(s):
April 20, 2000
Received by editor(s) in revised form:
May 29, 2001
Posted:
October 18, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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