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Nagoya Mathematical Journal

Theory of prehomogeneous vector spaces (algebraic part)---the English translation of Sato's lecture from Shintani's note

Notes by Takuro Shintani, Translated from the Japanese by Masakazu Muro

Mikio Sato
Source: Nagoya Math. J. Volume 120 (1990), 1-34.
First Page: Show Hide
Primary Subjects: 32M12
Secondary Subjects: 11M41, 22E30
Full-text: Open access
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.nmj/1118782193
Mathematical Reviews number (MathSciNet): MR1086566
Zentralblatt MATH identifier: 0715.22014

References

[Al] Aomoto, K., Finiteness of a cohomology associated with certain Jackson integrals, preprint 1989.
Mathematical Reviews (MathSciNet): MR1088716
Zentralblatt MATH: 0769.33016
Digital Object Identifier: doi:10.2748/tmj/1178227537
Project Euclid: euclid.tmj/1178227537
[A2] Aomoto, Connection coefficients for Jackson integrals of extended Selberg type, preprint 1989.
[Sa-Ki] Sato, M.andKimura, T.,A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J., 65 (1977), 1-155.
Mathematical Reviews (MathSciNet): MR0430336
Project Euclid: euclid.nmj/1118796150
[Sa-Shl] Sato, M. and Shintani, T., Gaikinshitsu bekutoru kuukan no riron (Theory of prehomogeneous vector spaces) (in Japanese), Sugaku no Ayumi, 15-1 (1970), 85-157.
Mathematical Reviews (MathSciNet): MR1086566
Zentralblatt MATH: 0715.22014
Project Euclid: euclid.nmj/1118782193
[Sa-Sh2] Sato, Onzeta functions associated with prehomogeneous vector spaces, Ann. of Math., 100 (1974), 131-170.
Mathematical Reviews (MathSciNet): MR0344230
Zentralblatt MATH: 0309.10014
Digital Object Identifier: doi:10.2307/1970844
[Sa-Ka-ki-Os] Sato, M.,Kashiwara, M.,Kimura, T. and Oshima, T., Micro-local analy- sis of prehomogeneous vector spaces, Invent. Math., 62 (1980), 117-179. RIMS, Kyoto University Kyoto 606 Japan
Mathematical Reviews (MathSciNet): MR595585
Digital Object Identifier: doi:10.1007/BF01391666

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