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SUMMARY:Vladimir Gorbatsevich (Russian State Technological University name
 d after K.E. Tsiolkovky\, Russia)
DTSTART:20231009T150000Z
DTEND:20231009T160000Z
DTSTAMP:20260423T021117Z
UID:ENAAS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/42/">O
 n some classes of bases in finite-dimensional Lie algebras</a>\nby Vladimi
 r Gorbatsevich (Russian State Technological University named after K.E. Ts
 iolkovky\, Russia) as part of European Non-Associative Algebra Seminar\n\n
 \nAbstract\nLie algebras having bases of a special form (nice and beautifu
 l bases) are considered. For nice bases\, it is proved that in any nilpote
 nt Lie algebra their number (up to equivalence) is ﬁnite. For some Lie a
 lgebras of low dimension\, it is shown that\, when passing from a complex 
 Lie algebra to its realiﬁcation\, the property to have a beautiful basis
  is lost. Also nilpotent Lie algebras of dimensions less than 8 are consid
 ered.\n
LOCATION:https://researchseminars.org/talk/ENAAS/42/
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