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0111 · Jan 201819922001200920182026
4 results for supergrassmannian

The paper constructs supergrassmannians using gluing and describes their actions.

problem Constructing and describing the actions of supergrassmannians.
method Gluing of superdomains and action of super Lie group GL(extbfm)GL(\overrightarrow{ extbf{m}}) in functor of points language.
result Concrete proof of the transitively of the action and gluing of local charts.

This paper studies supergrassmannians as homogeneous spaces for super Lie groups.

problem Defining and understanding supergrassmannians as homogeneous spaces.
method Using the functor of point approach, the paper constructs the action of super Lie group GL(m|n) on G_{k|l}(m|n).
result Explicit construction of the action of super Lie group GL(m|n) on supergrassmannian G_{k|l}(m|n).