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how to know k and n and its index of Grassmannian?

which mehod can easily design index of Grassmannian and its k and n or any library or function for this in Macaulay2?

is there any library or functions or tools to design index of Grassmannian and its k and n for Schubert use?

is there any library or functions to relate poset with index of Grassmannian and its k and n for Schubert function use?

moreover,

I find that ideal has only three kind of graphs surrounding the turning point topic.

if change to use any one of Schubert case or poset or Grassmannian, will it be same topic. Any other new kind of graph or topic in these area?

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