Westaway, Matthew (2017) K_2 of Kac-Moody groups. Journal of Algebra, 484 . pp. 1-22. doi:10.1016/j.jalgebra.2017.03.024 ISSN 0021-8693.

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Abstract

Ulf Rehmann and Jun Morita, in their 1989 paper A Matsumoto Type Theorem for Kac-Moody Groups , gave a presentation of K2(A,F) for any generalised Cartan matrix A and field F . The purpose of this paper is to use this presentation to compute K2(A,F) more explicitly in the case when A is hyperbolic. In particular, we shall show that these K2(A,F) can always be expressed as a product of quotients of K2(F) and K2(2,F). Along the way, we shall also prove a similar result in the case when A has an odd entry in each column.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Kac-Moody algebras, Group theory
Journal or Publication Title:	Journal of Algebra
Publisher:	Academic Press Inc Elsevier Science
ISSN:	0021-8693
Official Date:	15 August 2017
Dates:	Date Event 15 August 2017 Published 11 April 2017 Available 13 April 2017 Accepted 10 April 2017 Modified 17 July 2016 Submitted
Volume:	484
Page Range:	pp. 1-22
DOI:	10.1016/j.jalgebra.2017.03.024
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	19 April 2017
Date of first compliant Open Access:	12 November 2018

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