Publication
Title
Glider representations of chains of semisimple Lie algebra
Author
Abstract
We start the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring FR and here we consider the right bounded algebra filtration FU(?) on the universal enveloping algebra U(?) of some semisimple Lie algebra ? given by a fixed chain of semisimple Lie subalgebras . Inspired by the classical representation theory, we introduce so called Verma glider representations. Their existence is related to the relations between the root systems of the appearing Lie algebras ?(i). In particular, we consider chains of simple Lie algebras of the same type A,B,C and D.
Language
English
Source (journal)
Communications in algebra. - New York, N.Y.
Publication
New York, N.Y. : 2018
ISSN
0092-7872
Volume/pages
46:11(2018), p. 4985-5005
ISI
000445073800030
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 08.10.2018
Last edited 19.08.2021
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