Soulie, A. (2019) The Long–Moody construction and polynomial functors. Annales de l'Institut Fourier, 69(4), pp. 1799-1856. (doi: 10.5802/aif.3282)
|
Text
206108.pdf - Published Version Available under License Creative Commons Attribution No Derivatives. 3MB |
Abstract
In 1994, Long and Moody gave a construction on representations of braid groups which associates a representation of Bn with a representation of Bn+1. In this paper, we prove that this construction is functorial and can be extended: it inspires endofunctors, called Long–Moody functors, on the category of functors from Quillen’s bracket construction associated with the braid groupoid to a module category. Then we study the effect of Long–Moody functors on strong polynomial functors: we prove that they increase by one the degree of very strong polynomiality.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Soulie, Dr Arthur |
Authors: | Soulie, A. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Annales de l'Institut Fourier |
Publisher: | Association des Annales de l'Institut Fourier |
ISSN: | 0373-0956 |
ISSN (Online): | 1777-5310 |
Copyright Holders: | Copyright © 2019 Association des Annales de l’institut Fourier |
First Published: | First published in Annales de l'Institut Fourier 69(4):1799-1856 |
Publisher Policy: | Reproduced under a Creative Commons License |
University Staff: Request a correction | Enlighten Editors: Update this record