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.
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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.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Last Updated Date : 26/04/2022
