Mixed cohomology of filiform Lie superalgebras of super-nilindex (1,2)

In this paper, we investigate mixed cohomology of filiform Lie superalgebras. We explicitly describe the mixed cohomology of filiform Lie superalgebras of super-nilindex [Formula: see text] with coefficients in the one-dimensional trivial module and compute the Betti numbers of the mixed cohomology.

Authors

Institutions

Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-04-29
DOI
https://doi.org/10.1142/s0219498826502476
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Mixed cohomology of filiform Lie superalgebras of super-nilindex (1,2)

Jixia Yuan, Yuqiu Sheng, Wei Bai
Journal of Algebra and Its Applications
Advanced Topics in Algebra
article

Mixed cohomology of filiform Lie superalgebras of super-nilindex (1,2)

Jixia Yuan, Yuqiu Sheng, Wei Bai
article en

Abstract

In this paper, we investigate mixed cohomology of filiform Lie superalgebras. We explicitly describe the mixed cohomology of filiform Lie superalgebras of super-nilindex [Formula: see text] with coefficients in the one-dimensional trivial module and compute the Betti numbers of the mixed cohomology.

Journal of Algebra and Its Applications
Harbin Normal University (CN), Heilongjiang University (CN), Bohai University (CN)
Openalex Percentile: Top 87%
Advanced Topics in Algebra
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.