IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Cohomology and extensions of braces
Autor/es:
L. VENDRAMIN; V. LEBED
Revista:
PACIFIC JOURNAL OF MATHEMATICS
Editorial:
PACIFIC JOURNAL MATHEMATICS
Referencias:
Año: 2016 vol. 284 p. 191 - 212
ISSN:
0030-8730
Resumen:
Braces and linear cycle sets are algebraic structures playing a major role inthe classification of involutive set-theoretic solutions to the Yang-Baxterequation. This paper introduces two versions of their (co)homology theories.These theories mix the Harrison (co)homology for the abelian group structureand the (co)homology theory for general cycle sets, developed earlier by theauthors. Different classes of brace extensions are completely classified interms of second cohomology groups.
