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$\varphi$-Dialgebras and a Class of Matrix ``Coquecigrues'' |
Published:2007-03-01
Printed: Mar 2007
Printed: Mar 2007
- Fausto Ongay
Abstract
Starting with the Leibniz algebra defined by a $\varphi$-dialgebra, we
construct examples of ``coquecigrues,'' in the sense of Loday, that is to
say, manifolds whose tangent structure at a distinguished point coincides
with that of the Leibniz algebra. We discuss some possible
implications and generalizations of this construction.
| Keywords: | Leibniz algebras, dialgebras |
| MSC Classifications: | 14M30 - Supervarieties [See also 32C11, 58A50] |