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
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.
UDC:
512.813.52,
512.743 Received: 04.09.2019
Language: English
© , 2024
Fulltext:
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