Irreducible representation of free algebras

Time: 10:30 - 11:30, April 22, 2026

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: We study irreducible polynomials in $x_1... x_n$ non-commutative variables  and irreducible representations of the free algebra $K$ by means of the Leavitt algebra $L_K(1, n)$. This approach leads to new insights in the study of the factorization of polynomials into irreducible ones and other related topics, such as an algorithm to divide polynomials or to compute the greatest common divisor between them. This is part of a joint project with P. N. Anh.