On Cohomology of Lie Algebra Bundles of Finite Type

Authors

DOI:

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

Abstract

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.

Author Biography

  • 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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Published

2025-01-21

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Section

Research Articles

How to Cite

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