Supplement to Orthosymplectic Lie Superalgebras, Koszul Duality, and a Complete Intersection Analogue of the Eagon–northcott Complex
نویسنده
چکیده
This note is a supplement to [S2]. The main point is to prove Theorem 2.1.1, which is a special case of [S2, Theorem 3.3.6], without the use of Lie superalgebras or Koszul duality. The focus here is on the case of the symplectic group, though the proofs given here could be adapted to the other cases from [S2]. The proof we give here was found before the one in [S2] and we believe that it is of independent interest. We also include some combinatorial lemmas regarding the modification rules which played a prominent role in [S2] but which were ultimately not needed.
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