Open AccessClassification of admissible nilpotent orbits in simple real Lie algebras πΈββββ and πΈββββββ
Author(s) -
Alfred G. NoΓ«l
Publication year - 2001
Publication title -
representation theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/s1088-4165-01-00142-x
Subject(s) - algorithm , artificial intelligence , type (biology) , computer science , mathematics , geology , paleontology
This paper completes the classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie algebras. The author has previoulsly determined such orbits for exceptional real simple Lie algebras of inner type. Here he uses the same techniques, with some modifications, to classify the admissible nilpotent orbits of E 6 ( 6 ) E_{6(6)} and E 6 ( β 26 ) E_{6(-26)} under their simply connected Lie groups.