Cohomology of Lie Superalgebras

Cohomology of Lie Superalgebras

In this paper we compute the Betti numbers for complex nilpotent Lie superalgebras of dimension <inline-formula> <math display="inline"> <semantics> <mrow> <mo>≤</mo> <mn>5</mn> </mrow> </semantics> </math> </inline-formu...

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Bibliographic Details
Main Authors: María Alejandra Alvarez, Javier Rosales-Gómez
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Symmetry
Subjects:
Lie superalgebras
cohomology
Betti numbers
Online Access:https://www.mdpi.com/2073-8994/12/5/833
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spelling doaj-127f859025b84a3684631a2394f3cb192020-11-25T03:32:05ZengMDPI AGSymmetry2073-89942020-05-011283383310.3390/sym12050833Cohomology of Lie SuperalgebrasMaría Alejandra Alvarez0Javier Rosales-Gómez1Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileDepartamento de Física, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileIn this paper we compute the Betti numbers for complex nilpotent Lie superalgebras of dimension <inline-formula> <math display="inline"> <semantics> <mrow> <mo>≤</mo> <mn>5</mn> </mrow> </semantics> </math> </inline-formula>.https://www.mdpi.com/2073-8994/12/5/833Lie superalgebrascohomologyBetti numbers
collection DOAJ
language English
format Article
sources DOAJ
author María Alejandra Alvarez
Javier Rosales-Gómez
spellingShingle María Alejandra Alvarez
Javier Rosales-Gómez
Cohomology of Lie Superalgebras
Symmetry
Lie superalgebras
cohomology
Betti numbers
author_facet María Alejandra Alvarez
Javier Rosales-Gómez
author_sort María Alejandra Alvarez
title Cohomology of Lie Superalgebras
title_short Cohomology of Lie Superalgebras
title_full Cohomology of Lie Superalgebras
title_fullStr Cohomology of Lie Superalgebras
title_full_unstemmed Cohomology of Lie Superalgebras
title_sort cohomology of lie superalgebras
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-05-01
description In this paper we compute the Betti numbers for complex nilpotent Lie superalgebras of dimension <inline-formula> <math display="inline"> <semantics> <mrow> <mo>≤</mo> <mn>5</mn> </mrow> </semantics> </math> </inline-formula>.
topic Lie superalgebras
cohomology
Betti numbers
url https://www.mdpi.com/2073-8994/12/5/833
work_keys_str_mv AT mariaalejandraalvarez cohomologyofliesuperalgebras
AT javierrosalesgomez cohomologyofliesuperalgebras
_version_ 1724569816667258880

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