TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

On the affine cohomology class for filiform Lie algebra

, *

* Corresponding author · click or hover a name for details

pp. 1–9Online FirstMay 2026DOI: 10.47974/JIM-2392XML
Received:
01 Feb 2025
Published Online:
18 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2392
Pages:
1–9

Abstract

We investigate symplectic structures on 2-step nilpotent Lie algebras as well as affine structures on filiform Lie algebras, and we establish a necessary condition for the existence of such affine structures.

Keywords

Subject Classifications

53Dxx22E2517B30

References

[1] D. Burde, Affine cohomology classes for filiform Lie algebras, Contemp. Math., vol. 262, Amer. Math. Soc., Providence, RI, pp. 159-170 (2000).
[2] Yu. Khakimdjanov, M. Goze, and A. Medina, Symplectic or contact structures on Lie groups, Differ. Geom. Appl., vol. 21, no. 1, 2004, pp. 41-54.
[3] A. N. Maksimenko, Affine maps between quadratic assignment polytopes and subgraph isomorphism polytopes, J. Discrete Math. Sci. Cryptogr., vol. 25, no. 2, 2022, pp. 503-509.
[4] N. Midoune, Algèbres de Lie 2-nilpotentes et structures symplectiques, J. Lie Theory, vol. 23, no. 1, pp. 217-228 (2013).
[5] K. Prasad and H. Mahato, Cryptography using generalized Fibonacci matrices with Affine-Hill cipher, J. Discrete Math. Sci. Cryptogr., vol. 25, no. 8, pp. 2341-2352 (2022).
[6] Ph. Revoy, Algèbres de Lie métabéliennes, Ann. Fac. Sci. Toulouse Math. (5), vol. 2, no. 2, pp. 93-100 (1980).

Views: 14Downloads: 4Citations: 0