Journal of Lie Theory

no. 2
Homotopes and Conformal Deformations of Symmetric Spaces
Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 301-333
Homotopy is an important feature of associative and Jordan algebraic structures: such structures always come in families whose members need not be isomorphic among each 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 geometric counterpart of this phenomenon on the 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.
DOI: 10.5802/jolt.496
Classification: 17C37, 32G99, 17C27, 14D99
Keywords: Homotope, isotope, Jordan algebras, Jordan triple systems, Jordan pairs, Lie triple system, symmetric space, generalized projective geometries, polar geometries 
@article{JOLT_2008_18_2_a3,
     author = {W. Bertram},
     title = {Homotopes and {Conformal} {Deformations} of {Symmetric} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {301--333},
     year = {2008},
     volume = {18},
     number = {2},
     doi = {10.5802/jolt.496},
     zbl = {1164.17021},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.496/}
}
TY  - JOUR
AU  - W. Bertram
TI  - Homotopes and Conformal Deformations of Symmetric Spaces
JO  - Journal of Lie Theory
PY  - 2008
SP  - 301
EP  - 333
VL  - 18
IS  - 2
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.496/
DO  - 10.5802/jolt.496
ID  - JOLT_2008_18_2_a3
ER  - 
%0 Journal Article
%A W. Bertram
%T Homotopes and Conformal Deformations of Symmetric Spaces
%J Journal of Lie Theory
%D 2008
%P 301-333
%V 18
%N 2
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.496/
%R 10.5802/jolt.496
%F JOLT_2008_18_2_a3
W. Bertram. Homotopes and Conformal Deformations of Symmetric Spaces. Journal of Lie Theory, Volume 18 (2008) no. 2, pp. 301-333. doi: 10.5802/jolt.496

Cited by Sources: