PREHOMOGENEOUS SPACES ASSOCIATED WITH NILPOTENT ORBITS
This webpage links to tables containing results from the following papers:
Prehomogeneous
spaces associated with real nilpotent orbits, Co-authors
Steven Glenn Jackson and Alfred G. No‘l (To appear in Journal of Algebra)
Prehomogeneous spaces associated with nilpotent orbits in simple real Lie algebras E6(6) and E6(-26) and their relative invariants, Co-authors Steven Glenn Jackson and Alfred G. No‘l (To appear in Experimental Mathematics Journal)
A LiE subroutine for computing prehomogeneous
spaces associated with nilpotent Complex Orbits Co-authors Steven Glenn
Jackson and Alfred G. No‘l Lecture Notes in Computer Science, Springer-Verlag Vol
3516, (611Ñ618), 2005.
A LiE subroutine for computing prehomogeneous
spaces associated to real nilpotent orbits Co-authors Steven Glenn
Jackson and Alfred G. No‘l Lecture Notes in Computer Science,
Springer-Verlag Vol 3482, (512Ñ521), 2005.
Prehomogeneous spaces associated to complex nilpotent orbits Co-authors Steven Glenn Jackson and Alfred G. No‘l Journal of Algebra Volume 289, Issue 2, (515-557) 2005.
Click on the group in order to download the pdf file containing the tables.
COMPLEX |
|
|
|
|
For the real cases we use the Kostant-Sekiguchi correspondence to find modules of type ki and pi. We also explain how to interpret the table entries in the above papers.
|
REAL pi |
|
|
|
|
|
|
|
|||||
|
REAL ki |
|
|
|
|
|
|
|
|||||