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φ-Dialgebras and a Class of Matrix “Coquecigrues”

Published online by Cambridge University Press:  20 November 2018

Fausto Ongay
Fausto Ongay*
Affiliation:
CIMAT, Guanajuato, Gto., 36240 Mexico e-mail: ongay@cimat.mx
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Abstract

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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

14M30Leibniz algebrasdialgebras

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 126 - 137
Copyright
Copyright © Canadian Mathematical Society 2007

References

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