Publication
Title
Homogenized sl(2)
Author
Abstract
This note studies a special case of Artin's projective geometry (Geometry of quantum planes, MIT, preprint, 1990) for noncommutative graded algebras. It is shown that (most of) the line modules over the homogenization of the enveloping algebra U(sl(2, C)) are in bijection with the lines lying on the quadrics that are the (closures of the) conjugacy classes in sl(2, C) . Furthermore, these line modules are the homogenization of the Verma modules for sl(2, C).
Language
English
Source (journal)
Proceedings of the American Mathematical Society. - Providence, R.I., s.a.
Publication
Providence, R.I. : 1993
ISSN
0002-9939
Volume/pages
118:3(1993), p. 725-730
ISI
A1993LH19000011
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 26.07.2017
To cite this reference