PRESENTATIONS OF AFFINE KAC–MOODY GROUPS

How many generators and relations does $\text{SL}\,_{n}(\mathbb{F}_{q}[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. We investigate presentations of affine Kac–Moody groups over finite fields. Our goal is to derive finite presentations,...

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Bibliographic Details
Main Authors: INNA CAPDEBOSCQ, KARINA KIRKINA, DMITRIY RUMYNIN
Format: Article
Language:English
Published: Cambridge University Press 2018-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509418000191/type/journal_article