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SUMMARY:Mátyás Domokos (Alfréd Rényi Institute of Mathematics\, Hungar
 y)
DTSTART:20230508T150000Z
DTEND:20230508T160000Z
DTSTAMP:20260423T052502Z
UID:ENAAS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/19/">A
 n application of classical invariant theory to the study of identities and
  concomitants of irreducible representations of the simple 3-dimensional c
 omplex Lie algebra</a>\nby Mátyás Domokos (Alfréd Rényi Institute of M
 athematics\, Hungary) as part of European Non-Associative Algebra Seminar\
 n\n\nAbstract\nTo an $n$-dimensional representation of a finite dimensiona
 l Lie algebra one can naturally associate an algebra of equivariant polyno
 mial maps from the space of $m$-tuples of elements of the Lie algebra into
  the space of $n$-by-$n$ matrices. In the talk we mainly deal with the spe
 cial case of irreducible\nrepresentations of the simple $3$-dimensional co
 mplex Lie algebra\, and discuss results on the generators of the correspon
 ding associative algebra of concomitants as well as results on the quantit
 ative behaviour of the identities of these representations.\n
LOCATION:https://researchseminars.org/talk/ENAAS/19/
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