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• W2034450187 abstract "Let V be an n-dimensional vector space. We give a direct construction of an exact sequence that gives a GL(V)-equivariant “resolution” of each symmetric power S t V in terms of direct sums of tensor products of the form ∧ i 1 V ⊗···⊗ ∧ i p V. This exact sequence corresponds to inverting the relation in the representation ring of GL(V) that is described by the Koszul complex, and has appeared before in work by B. Totaro, analogously to a construction of K. Akin involving the normalized bar resolution. Our approach yields a concrete description of the differentials, and provides an alternate direct proof that ." @default.
• W2034450187 created "2016-06-24" @default.
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• W2034450187 date "2008-05-15" @default.
• W2034450187 modified "2023-09-27" @default.
• W2034450187 title "On Inverting the Koszul Complex" @default.
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• W2034450187 doi "https://doi.org/10.1080/00927870801941044" @default.
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