An application of classical invariant theory to the study of identities and concomitants of irreducible representations of the simple 3-dimensional complex Lie algebra

Mátyás Domokos (Alfréd Rényi Institute of Mathematics, Hungary)

08-May-2023, 15:00-16:00 (11 months ago)

Abstract: To an $n$-dimensional representation of a finite dimensional Lie algebra one can naturally associate an algebra of equivariant polynomial 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 special case of irreducible representations of the simple $3$-dimensional complex Lie algebra, and discuss results on the generators of the corresponding associative algebra of concomitants as well as results on the quantitative behaviour of the identities of these representations.

quantum algebrarings and algebras

Audience: researchers in the topic


European Non-Associative Algebra Seminar

Organizers: Ivan Kaygorodov*, Salvatore Siciliano, Mykola Khrypchenko, Jobir Adashev
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