Flag varieties as equivariant compactifications of 𝔾ₐⁿ

Arzhantsev, Ivan

doi:10.1090/S0002-9939-2010-10723-2

Flag varieties as equivariant compactifications of $\mathbb {G}_{a}^{n}$
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Proc. Amer. Math. Soc. 139 (2011), 783-786 Request permission

Abstract:

Let $G$ be a semisimple affine algebraic group and $P$ a parabolic subgroup of $G$. We classify all flag varieties $G/P$ which admit an action of the commutative unipotent group $\mathbb {G}_{a}^{n}$ with an open orbit.

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