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Uladzimir Shtukar, NC Central University, “Canonical bases, subalgebras, reductive pairs of Lie algebras, and possible applications”

SAS 4201

Subalgebras of Lie algebra of Lorentz group will be discussed as the basic examples at the beginning of the report. The corresponding analysis is performed by canonical bases for subspaces of a vector space. All canonical bases for 5-dimensional and 4-dimensional subspaces of a 6-dimensional vector space are found, and they are utilized to find…