abstract

• We present the concept of finite-dimensional complex homogeneous contact Lie superalgebra. The -graded homogeneous cases are studied in detail producing some relevant examples. We characterize homogeneous contact Lie superalgebras in terms of their Berezinian and their structure matrix. These Lie superalgebras are also characterized by means of deformation theory, and as an application we obtain the complete classification of low dimensional Lie superalgebras of this type.

authors

• Alvarez M.A.
• Rodríguez Vallarte María del Carmen
• Salgado González Gil

publication date

• 2024-01-01

funding provided via

• PROMEP grant [UASLP-CA-228]; MINEDUC-UA project ANT; MCRV; PROMEP grant [UASLP-CA-228]; CONACyT [A1-S-45886]  Grant

published in

• Journal of Geometry and Physics  Journal

keywords

• Contact Lie superalgebras, Deformation of Lie superalgebras

Digital Object Identifier (DOI)

• 10.1016/j.geomphys.2023.105058

PubMed ID

start page

end page

volume

• 196

issue