Relative invariants of some 2-simple prehomogeneous vector spaces

Authors:
Takeyoshi Kogiso, Go Miyabe, Miyuki Kobayashi and Tatsuo Kimura

Journal:
Math. Comp. **72** (2003), 865-889

MSC (2000):
Primary 11S05, 11S90

DOI:
https://doi.org/10.1090/S0025-5718-02-01470-9

Published electronically:
October 18, 2002

MathSciNet review:
1954972

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

DOI:
https://doi.org/10.1090/S0025-5718-02-01470-9

Received by editor(s):
April 20, 2000

Received by editor(s) in revised form:
May 29, 2001

Published electronically:
October 18, 2002

Article copyright:
© Copyright 2002
American Mathematical Society