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Isometries of Quaternionic Lie Groups |
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| Authors: | Ignacio Bajo J F Torres Lopera |
| Institution: | (1) Department Matemática Aplicada, E.T.S.I. Industriales y Minas, Universidad de Vigo, 36280 Vigo, Spain;(2) Department Geometría y Topología, Fac. Matemáticas, Universidad de Santiago, 15706 Santiago, Spain |
| Abstract: | We study connected Lie groups whose Lie algebra is obtained as the tensor product of a real associative algebra and the algebra
of quaternions. It is proved that they carry a natural integrable
-structure. We endow such quaternionic Lie groups with a left-invariant Hermitian metric and study the identity connected component of their isometry groups. The determination of such identity connected component is illustrated with a family of examples. |
| Keywords: | Lie group hypercomplex structure isometry group |
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