Let G be a connected reductive algebraic group over C. We denote by K=(Gθ) 0 the identity
component of the fixed points of an involutive automorphism θ of G. The pair (G, K) is called …

Let G be a reductive algebraic group over the complex number filed, and K= G^{\theta} be
the fixed points of an involutive automorphism\theta of G so that (G, K) is a symmetric pair …

Let G be a connected, simply connected semisimple algebraic group over the complex
number field, and let K be the fixed point subgroup of an involutive automorphism of G so …

We study K-orbits in G/P where G is a complex connected reductive group, P⊆ G is a
parabolic subgroup, and K⊆ G is the fixed point subgroup of an involutive automorphism θ …

Let G be a semisimple algebraic group whose decomposition into the product of simple
components does not contain simple groups of type A, and P⊆ G be a parabolic subgroup …

Let $ G $ be a connected reductive algebraic group and its symmetric subgroup $ K $. The
variety $\dblFV= K/Q\times G/P $ is called a double flag variety, where $ Q $ and $ P $ are …

Schubert varieties are closures of orbits of a Borel subgroup on a generalized flag variety
G/P for a complex reductive group G. They are known to be normal and to have rational …

Let σ be a semisimple automorphism of a connected reductive group G, and let G σ be the
fixed points of σ. We consider the G σ-orbits on the space of nilpotent elements in an …

We give a pattern avoidance criterion to classify the orbits of Sp (p, C)× Sp (q, C)(resp. GL (n,
C)) on the flag variety of type Cp+ q (resp. Dn) with rationally smooth closure. We show that …

Let G be a reductive real Lie group, σ an involutive automorphism of G, and L= G σ the fixed
point set of σ. It is shown that G has only finitely many L-conjugacy classes of parabolic …