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COHOMOLOGY OF FILIFORM LIE ALGEBRAS OVER FIELDS OF CHARACTERISTIC TWO

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  04 December 2017

IOANNIS TSARTSAFLIS
IOANNIS TSARTSAFLIS*
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Bundoora, Victoria 3086, Australia email [email protected]
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Abstract

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Keywords

Lie algebrasnilpotentcohomologymaximal class

MSC classification

Primary: 17B56: Cohomology of Lie (super)algebras
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 1 , February 2018 , pp. 168 - 170
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

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Fialowski, A. and Millionschikov, D., ‘Cohomology of graded Lie algebras of maximal class’, J. Algebra 296(1) (2006), 157–176.Google Scholar
Nikolayevsky, Y. and Tsartsaflis, I., ‘Cohomology of ℕ-graded Lie algebras of maximal class over ℤ2 ’, J. Lie Theory 27(2) (2017), 529–544.Google Scholar
Tsartsaflis, I., ‘On the Betti numbers of filiform Lie algebras over fields of characteristic two’, Rev. Uni. Mat. Argentina 58(1) (2017), 95–106.Google Scholar
Vergne, M., ‘Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes’, Bull. Soc. Math. France 98 (1970), 81–116.Google Scholar