On Cohomology of Lie Algebra Bundles of Finite Type

Auteurs-es

DOI :

https://doi.org/10.5269/bspm.69209

Résumé

In this paper, we study radical bundle, nilradical bundle, annhilator and alternative bundle of a Lie algebra bundle of finite type. We generalise some results of vector bundles (more precisely, Lie algebra bundles) by weakening the condition of compactness using finite type. We prove Whitehead's Lemmas for semisimple Lie algebra bundles of finite type.

Biographie de l'auteur-e

  • Siva Kota Reddy Polaepalli, JSS Science and Technology University

    Professor, Departmnet of Mathematics, JSS Science and Technology, Mysuru-570 006, India

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Publié

2025-01-21

Numéro

Rubrique

Research Articles

Comment citer

K, K., Polaepalli, S. K. R., & R, R. (2025). On Cohomology of Lie Algebra Bundles of Finite Type. Boletim Da Sociedade Paranaense De Matemática, 43, 1-10. https://doi.org/10.5269/bspm.69209