Vol. 40, No. 1, 1972

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Vol. 297: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Defining relations for certain integrally parameterized Chevalley groups

William Patterson Wardlaw

Vol. 40 (1972), No. 1, 235–250
Abstract

For each faithful finite dimensional irreducible representation R of a finite dimensional simple Lie algebra L over the complex field, this paper treats the integrally parameterized subgroup GZ of the Chevalley Group G over the rational field Q. For L of type Al,Dl, or El, Lie algebraic methods are used to extend a result of J. Nielson on SL(S,Z) to obtain a finite set of defining relations for GZ. Similar relations augmented by defining relations for rτY z(B2) are shown to define GZ when L is of type Bl,Cl, or F4. (The relations for GZ(B2) are not listed here.)

Mathematical Subject Classification 2000
Primary: 20H20
Milestones
Received: 1 September 1970
Published: 1 January 1972
Authors
William Patterson Wardlaw