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Roberts, Paul C.

A minimal free complex associated to the minors of a matrix. (English) Zbl 1395.13011

J. Commut. Algebra 10, No. 2, 213-242 (2018).
Authors’ abstract: This paper describes a construction of a minimal free resolution of a generic ideal defined by determinants in characteristic zero. It produces not only the free modules in the resolution, but it also defines the maps between them explicitly and in detail in terms of idempotents in the group algebra of the symmetric group.
Reviewer: Amir Mafi (Sanandaj and Tehran)

Cited in 4 Documents

MSC:

13D02 Syzygies, resolutions, complexes and commutative rings

Keywords:

determinantal ideal; free resolution; symmetric group algebra
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\textit{P. C. Roberts}, J. Commut. Algebra 10, No. 2, 213--242 (2018; Zbl 1395.13011)
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