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On the exotic Grassmannian and its nilpotent variety

On the exotic Grassmannian and its nilpotent variety

Given a decomposition of a vector space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V equals upper V 1 circled-plus upper V 2"> <mml:semantics> <mml:mrow> <mml:mi>V</mml:mi> <mml:mo>=</mml:mo> <mml:msub> <mml:mi>V</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>⊕<!-- ⊕ --></mml:mo> <mml:msub> <mml:mi>V</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">V=V_1\oplus V_2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, the direct product <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …