Siegel domains over self-dual cones and their automorphisms
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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 + g0. 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.
1991 ◽
Vol 32
(6)
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pp. 1607-1608
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2004 ◽
Vol 198
(2)
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pp. 374-380
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2015 ◽
Vol 14
(3)
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pp. 1073-1095
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