Abstract
Upper bounds on the essential dimension of algebraic groups can be found by examining related questions about the integral representation theory of lattices for their Weyl groups. We examine these questions in detail for all simple affine algebraic groups, expanding on work of Lorenz and Reichstein for PGLn. This results in upper bounds on the essential dimensions of these simple affine algebraic groups which match or improve on the previously known upper bounds.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lemire, N. Essential Dimension of Algebraic Groups and Integral Representations of Weyl Groups. Transformation Groups 9, 337–379 (2004). https://doi.org/10.1007/s00031-004-9003-x
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00031-004-9003-x