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Siegel domains over self-dual cones and their automorphisms

Published online by Cambridge University Press:  22 January 2016

Tadashi Tsuji
Tadashi Tsuji*
Affiliation:
Mie University
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The Lie algebra gr of all infinitesimal automorphisms of a Siegel domain in terms of polynomial vector fields was investigated by Kaup, Matsushima and Ochiai [6]. It was proved in [6] that gr is a graded Lie algebra; gr = g-1 + g-1/2 + g0 + g1/2 + g1 and the Lie subalgebra ga of all infinitesimal affine automorphisms is given by the graded subalgebra; ga = g-1 + g-1/2 + g 0. Nakajima [9] proved without the assumption of homogeneity that the non-affine parts g1/2 and g1 can be determined from the affine part ga .

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 55 , November 1974 , pp. 33 - 80
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

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