Inclusion of Loops into Lie Groups: Infinitesimal Characteristics

Authors

  • L. Sbitneva Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, C.P.62209, Cuernavaca, Morelos

DOI:

https://doi.org/10.26713/cma.v3i1.147

Keywords:

Loops, Transversals, Reductive homogeneous spaces

Abstract

The infinitesimal characteristics for some class of smooth loops generalizing Bruck loops to be embedded into a Lie group are given. The interest to the problem of inclusion of loops into Lie groups has been shown by various recent publications dedicated to representations of loops as transversals on homogeneous spaces. There is presented an example of a smooth left Bol loop, satisfying the generalized Bruck identity, realized as a section on some reductive homogeneous space.

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CITATION

How to Cite

Sbitneva, L. (2012). Inclusion of Loops into Lie Groups: Infinitesimal Characteristics. Communications in Mathematics and Applications, 3(1), 87–97. https://doi.org/10.26713/cma.v3i1.147

Issue

Vol. 3 No. 1 (2012)

Section

Research Article

License

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