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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.
Bulletin of the London Mathematical Society – Wiley
Published: Oct 1, 2006
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