Consider the homogeneous space $X:=GL_2\times GL_2\times GL_2/ H$ where $H=GL_2$ is diagonally embedded into $GL_2\times GL_2\times GL_2$. My question is why $X$ is spherical (i.e., there is a Borel subgroup $B$ of $GL_2\times GL_2\times GL_2$ which has an open orbit on $X$).
Why the trilinear GL_2 model is spherical?
user42804
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