Irreducible representation of free algebras

Người báo cáo: Francesca Mantese (Verona University, Italy)

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.

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Xuất bản mới
Cấn Văn Hảo, Naoki Kubota, Shuta Nakajima, Upper tail large deviation for the one-dimensional frog model, Probability Theory and Related Fields, Volume 194, pages 1945–2023 (2026) .
Lê Viết Cường, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Proportional local assignability of two-sided dichotomy spectrum of linear time-varying systems, Journal of Differential Equations Volume 477, 5 October 2026, 114592 .
Lê Tuấn Hoa, Doan Quang Tien, New bounds on Castelnuovo-Mumford regularity of monomial curves and application to sumsets, Journal of Pure and Applied Algebra Volume 230, Issue 9, September 2026, 108323 .