Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Commutative Subalgebras and Sphericity in Z2‐Graded Lie Algebras

Commutative Subalgebras and Sphericity in Z2‐Graded Lie Algebras Let g = g0⊕g1 be a Z2‐graded simple Lie algebra. Fix a Borel subalgebra b0⊂g0. Let a⊂g1 be a b0‐stable subalgebra. Then a is automatically commutative. It is known that if G·a¯ is a spherical G‐variety, then G0.a is a spherical G0‐variety. We describe all Z2‐gradings having the property that G·a¯ is a spherical G‐variety for any a. 2000 Mathematics Subject Classification 14L30, 17B20, 20E46. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Commutative Subalgebras and Sphericity in Z2‐Graded Lie Algebras

Loading next page...
 
/lp/wiley/commutative-subalgebras-and-sphericity-in-z2-graded-lie-algebras-4h4qp8wQ1B

References (15)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609306018790
Publisher site
See Article on Publisher Site

Abstract

Let g = g0⊕g1 be a Z2‐graded simple Lie algebra. Fix a Borel subalgebra b0⊂g0. Let a⊂g1 be a b0‐stable subalgebra. Then a is automatically commutative. It is known that if G·a¯ is a spherical G‐variety, then G0.a is a spherical G0‐variety. We describe all Z2‐gradings having the property that G·a¯ is a spherical G‐variety for any a. 2000 Mathematics Subject Classification 14L30, 17B20, 20E46.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Oct 1, 2006

There are no references for this article.