Reductive IAPS
From Apstheory
(Difference between revisions)
Current revision as of 01:21, 30 December 2006
[edit] Definition
[edit] Symbol-free definition
An IAPS of groups is termed reductive with respect to a parabolic structure if every standard parabolic subgroup of it equals the corresponding Levi subgroup.
[edit] Definition with symbols
An IAPS of groups Failed to parse (Can't write to or create math temp directory): (G,\\Phi)
is termed reductivewith respect to a parabolic structure Failed to parse (Can't write to or create math temp directory): P if for any ordered tuple of integers Failed to parse (Can't write to or create math temp directory): (m_1,m_2,...,m_r) the parabolic subgroup Failed to parse (Can't write to or create math temp directory): P_{(m_1,m_2,...,m_r)} equals the Levi subgroup Failed to parse (Can't write to or create math temp directory): L_{(m_1,m_2,...m_r)}
.