On Cohomology of Lie Algebra Bundles of Finite Type

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DOI:

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

Resumo

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.

Biografia do Autor

  • Dr 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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Publicado

2025-01-21

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Como Citar

K, K., Polaepalli, D. 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