Open AccessOn M. Sato's Classification of Some Reductive Prehomogeneous Vector Spaces
Author(s) -
Tatsuo Kimura,
Yukimi Ishii,
Inhyun Ryu,
Michio Hamada,
Yoshiteru Kurosawa,
Masaya Ouchi,
Tomohiro Kamiyoshi
Publication year - 2011
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/40
Subject(s) - mathematics , pure mathematics , mathematics education
Under some condition, M. Sato classified reductive prehomogeneous vector spaces of the form (G0 × G,Λ1 ⊗ ρ, V (n) ⊗ V ). In this paper, under another condition, we classify the prehomogeneous vector spaces of the same form. We consider everything over the complex number field C. 2010 Mathematics Subject Classification: Primary 11S90; Secondary 20G20.
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