The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E8

Simon Goodwin; Peter Mosch; Gerhard Roehrle

doi:10.1080/10586458.2018.1468289

The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E₈

Simon Goodwin, Peter Mosch, Gerhard Roehrle

Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

Let G be a simple algebraic group over an algebraically closed field k, where char k is either 0 or a good prime for G. We consider the modality mod(B : u) of the action of a Borel subgroup B of G on the Lie algebra u of the unipotent radical of B, and report on computer calculations used to show that mod(B : u) = 20, when G is of type E₈. This completes the determination of the values for for mod(B : u) G of exceptional type.

Original language	English
Number of pages	3
Journal	Experimental Mathematics
Early online date	29 Jun 2018
DOIs	https://doi.org/10.1080/10586458.2018.1468289
Publication status	E-pub ahead of print - 29 Jun 2018

Keywords

Borel subgroups
modality
reductive algebraic groups

Access to Document

10.1080/10586458.2018.1468289Licence: None: All rights reserved

Simon_Goodwin_&_Peter_Mosch_The_Modality_of_a_Borel_Subgroup_Experimental_Mathematics_2018
Checked for eligibility: 07/08/2018 This is an Accepted Manuscript of an article published by Taylor & Francis in Experimental Mathematics on 29/06/2018, available online: http://www.tandfonline.com/10.1080/10586458.2018.1468289.
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Cite this

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KW - reductive algebraic groups

UR - https://arxiv.org/abs/1802.03175

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