Isometries on complex matric Heisenberg groups |
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| Authors: | I Bajo J F Torres Lopera |
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| Institution: | 1. Dept. de Matematica Aplicada, E.T.S.I. Industriales, Vigo, Spain
2. Dept. Geometria y Topología, Facultad de Matemáticas, Santiago de Compostela, Spain
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| Abstract: | Complex matric Heisenberg groupsH=H C (p,q,r) endowed with suitable left-invariant Hermitian metrics have a large connected groupK 0 of isometries fixing the identity ofH. In fact, forpr=1,K 0 is the conformal symplectic groupCSp(q), while forpr>1 it is the factor groupU(p)×U(q)×U(r)/T, whereU(n) is the unitary group ofC n andT a normal subgroup of the product isomorphic toU(1). |
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