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2018 A minimal free complex associated to the minors of a matrix
Paul C. Roberts
J. Commut. Algebra 10(2): 213-242 (2018). DOI: 10.1216/JCA-2018-10-2-213

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.

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Paul C. Roberts. "A minimal free complex associated to the minors of a matrix." J. Commut. Algebra 10 (2) 213 - 242, 2018. https://doi.org/10.1216/JCA-2018-10-2-213

Information

Published: 2018
First available in Project Euclid: 13 August 2018

zbMATH: 06917494
MathSciNet: MR3842335
Digital Object Identifier: 10.1216/JCA-2018-10-2-213

Subjects:
Primary: 13D02

Keywords: Determinantal ideal , free resolution , symmetric group algebra

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.10 • No. 2 • 2018
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