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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 481, Pages 108–124 (Mi znsl6781)  
A remark on nilpotent Lie algebras that do no admit gradings

Yu. A. Neretinabcde

a Wolfgang Pauli Institute, Vienna, Austria
b Institute for Information Transmission Problems, Moscow, Russia
c Moscow State University, Moscow, Russia
d University of Vienna, Vienna, Austria
e Institute for Theoretical and Experimental Physics, Moscow, Russia
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Abstract: We explain why nilpotent Lie algebras usually are characteristically nilpotent, i.e., do not admit $\mathbb{Z}$-gradings.
Key words and phrases: nilpotent Lie algebra, algebraic group, differentiations of algebras, gradations, extensions of Lie algebras.
Funding agency Grant number
Austrian Science Fund P31591
Supported by the grant FWF, P31591.
Received: 04.09.2019
Document Type: Article
UDC: 512.813.52, 512.743
Language: English
Citation: Yu. A. Neretin, “A remark on nilpotent Lie algebras that do no admit gradings”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXX, Zap. Nauchn. Sem. POMI, 481, POMI, St. Petersburg, 2019, 108–124
Citation in format AMSBIB
\Bibitem{Ner19}
\by Yu.~A.~Neretin
\paper A remark on nilpotent Lie algebras that do no admit gradings
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 481
\pages 108--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6781}
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