Global Deformations of a Lie Algebra of Type $$\bar{\boldsymbol{A}}_{\mathbf{5}}$$ in Characteristic 2
Autor: | N. G. Chebochko, M. I. Kuznetsov |
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Rok vydání: | 2020 |
Předmět: |
Pure mathematics
Automorphism group Bar (music) General Mathematics 010102 general mathematics Type (model theory) Rank (differential topology) Space (mathematics) 01 natural sciences 010305 fluids & plasmas 0103 physical sciences Lie algebra 0101 mathematics Algebra over a field Algebraically closed field Mathematics |
Zdroj: | Lobachevskii Journal of Mathematics. 41:238-242 |
ISSN: | 1818-9962 1995-0802 |
DOI: | 10.1134/s1995080220020122 |
Popis: | It is shown that the orbits of the space of local deformations of the Lie algebra $$\bar{A}_{5}$$ over an algebraically closed field $$K$$ of characteristic 2 with respect to the automorphism group $$\textrm{PGL}(6)$$ correspond to $$\textrm{GL}(V)$$ -orbits of tri-vectors of a 6-dimensional space. For local deformations corresponding to tri-vectors of rank $$\rho |
Databáze: | OpenAIRE |
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