Premium
Normality of Very Even Nilpotent Varieties in D 2l
Author(s) -
Sommers Eric
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003935
Subject(s) - mathematics , normality , nilpotent , closure (psychology) , pure mathematics , mathematics subject classification , combinatorics , mathematical analysis , statistics , economics , market economy
For the classical groups, Kraft and Procesi have resolved the question of which nilpotent orbits have closures that are normal and which do not, with the exception of the very even orbits in D 2 l that have partitions of the form ( a 2 k , b 2 ) for a > b even natural numbers satisfying ak + b = 2 l . In this paper, these orbits are shown to have normal closure. 2000 Mathematics Subject Classification 14L30, 14F17, 20G20 (primary).