Images of polynomials on algebras

Thiago Castilho de Mello (Federal University of São Paulo, Brazil)

24-Apr-2023, 15:00-16:00 (11 months ago)

Abstract: The so-called Lvov-Kaplansky Conjecture states that the image of a multilinear polynomial evaluated on the matrix algebra or order n is always a vector subspace. A solution to this problem is known only for $n=2$. In this talk we will present analogous conjectures for other associative and non-associative algebras and for graded algebras. Also, we will show how we can use gradings to present a statement equivalent to the Lvov-Kaplansky conjecture.

quantum algebrarings and algebras

Audience: researchers in the topic


European Non-Associative Algebra Seminar

Organizers: Ivan Kaygorodov*, Salvatore Siciliano, Mykola Khrypchenko, Jobir Adashev
*contact for this listing

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