Relations between the minors of a generic matrix

Autor(en): Bruns, Winfried 
Conca, Aldo
Varbaro, Matteo
Stichwörter: ALGEBRAS; Determinantal varieties; Mathematics; Plethysms; POWERS; Relations of minors; VARIETY; YOUNG-DIAGRAMS
Erscheinungsdatum: 2013
Herausgeber: ACADEMIC PRESS INC ELSEVIER SCIENCE
Journal: ADVANCES IN MATHEMATICS
Volumen: 244
Startseite: 171
Seitenende: 206
Zusammenfassung: 
It is well-known that the Plucker relations generate the ideal of relations of the maximal minors of a generic m x n matrix. In this paper we discuss the relations of t-minors for t < min(m, n). We will exhibit minimal relations in degrees 2 (non-Plucker in general) and 3, and give some evidence for our conjecture that we have found the generating system of the ideal of relations. The approach is through the representation theory of the general linear group. (C) 2013 Elsevier Inc. All rights reserved.
ISSN: 00018708
DOI: 10.1016/j.aim.2013.05.004

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