Noncommutative inclusion-exclusion, partial representations of semigroups, and nonassociative Specht polynomials

Seminar
Speaker
Uzi Vishne (Bar-Ilan University)
Date
27/04/2022 - 11:30 - 10:30Add to Calendar 2022-04-27 10:30:00 2022-04-27 11:30:00 Noncommutative inclusion-exclusion, partial representations of semigroups, and nonassociative Specht polynomials The dimension of the space of multilinear products of higher commutators is equal to the number of derangements, $[e^{-1}n!]$.  Our search for a combinatorial explanation for this fact led us to study representations of left regular bands, whose resolution is obtained through analysis of cubical partial representations. There are applications in combinatorics, probability, and nonassociative algebra. This is joint work with Guy Blachar and Louis Rowen. The lecture is dedicated to Stuart Margolis on the occasion of his retirement, for repeatedly planting semigroup seeds in our minds. ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062 Third floor seminar room, Mathematics building, and on Zoom. See link below. אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract

The dimension of the space of multilinear products of higher commutators is equal to the number of derangements, $[e^{-1}n!]$. 
Our search for a combinatorial explanation for this fact led us to study representations of left regular bands, whose resolution is obtained through analysis of cubical partial representations. There are applications in combinatorics, probability, and nonassociative algebra.

This is joint work with Guy Blachar and Louis Rowen.
The lecture is dedicated to Stuart Margolis on the occasion of his retirement, for repeatedly planting semigroup seeds in our minds.

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https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062

Last Updated Date : 26/04/2022