Homotopes and Conformal Deformations of Symmetric Spaces

Details Homotopes and Conformal Deformations of Symmetric Spaces Homotopes and Conformal Deformations of Symmetric Spaces

2006-06-19

arxiv.org/abs/math/0606449v2

Mathematics

Rings and Algebras

28 pages, 2nd corrected version

Scientific paper

Homotopy is an important feature of associative and Jordan algebraic structures: such structures always come in families whose members need not be isomorphic among other, but still share many important properties. One may regard homotopy as a special kind of deformation of a given algebraic structure. In this work, we investigate the global counterpart of this phenomenon on the geometric level of the associated symmetric spaces -- on this level, homotopy gives rise to conformal deformations of symmetric spaces. These results are valid in arbitrary dimension and over general base fields and -rings.

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