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Lie bialgebra structures on 2-step nilpotent graph algebras

Farinati, Marco Andrés et al · Academic Press Inc Elsevier Science · 2018

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Author / responsible party
Farinati, Marco Andrés et al
Publisher
Academic Press Inc Elsevier Science
Year
2018
ISSN
0021-8693
ISSN
0021-8693
Language
English

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Summary

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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 fn, the free 2-step nilpotent Lie algebra. Fil: Farinati, Marco Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina Fil: Jancsa, Alejandra Patricia. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina

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APA 7

Farinati, M. A. E. A. (2018). Lie bialgebra structures on 2-step nilpotent graph algebras. http://hdl.handle.net/11336/88585

MLA

Farinati, Marco Andrés et al. "Lie bialgebra structures on 2-step nilpotent graph algebras." 2018. http://hdl.handle.net/11336/88585.

Chicago

Farinati, Marco Andrés et al. 2018. "Lie bialgebra structures on 2-step nilpotent graph algebras.". http://hdl.handle.net/11336/88585.

Harvard

Farinati, M. A. E. A. 2018, Lie bialgebra structures on 2-step nilpotent graph algebras, Academic Press Inc Elsevier Science, available at: http://hdl.handle.net/11336/88585 [Accessed 8 Aug. 2026].

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Title
Lie bialgebra structures on 2-step nilpotent graph algebras
Author / contributors
Farinati, Marco Andrés et al
Publisher
Academic Press Inc Elsevier Science
Publication year
2018
ISSN
0021-8693
ISSN
0021-8693
Language
English

Subjects

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LIE BIALGEBRAS; NILPOTENT LIE ALGEBRAS; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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