IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Lie bialgebra structures on 2-step nilpotent graph algebras
Autor/es:
JANCSA, ALEJANDRA PATRICIA; FARINATI, MARCO A.
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2018 vol. 505 p. 70 - 91
ISSN:
0021-8693
Resumen:
We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebras coming from graphs, we describe these extra properties in a very easy graph-combinatorial way. We exhibit applications for f_n, the free 2-step nilpotent Lie algebra.