PieriMaps

Computing inclusions of Schur modules. We describe a software package for constructing minimal free resolutions of graded GL n (ℚ)-equivariant modules M over Q[x 1 ,...,x n ] such that, for all i, the i-th syzygy module of M is generated in a single degree. We do so by describing some algorithms for manipulating polynomial representations of GL n (ℚ) following ideas of Olver and Eisenbud-Fløystad-Weyman.

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References in zbMATH (referenced in 9 articles )

Showing results 1 to 9 of 9.
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  1. Fløystad, Gunnar; Kileel, Joe; Ottaviani, Giorgio: The Chow form of the essential variety in computer vision (2018)
  2. Farnsworth, Cameron: Koszul-Young flattenings and symmetric border rank of the determinant (2016)
  3. Sam, Steven V.; Snowden, Andrew: GL-equivariant modules over polynomial rings in infinitely many variables (2016)
  4. Fei, Jiarui: On some quiver determinantal varieties (2015)
  5. Raicu, Claudiu: Products of Young symmetrizers and ideals in the generic tensor algebra (2014)
  6. Landsberg, J. M.; Ottaviani, Giorgio: Equations for secant varieties of Veronese and other varieties (2013)
  7. Sam, Steven V.; Weyman, Jerzy: Pieri resolutions for classical groups. (2011)
  8. Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel: Non-commutative desingularization of determinantal varieties. I (2010)
  9. Sam, Steven V.: Computing inclusions of Schur modules (2009)