Pieri resolutions for classical groups

Steven V Sam; Jerzy Weyman

doi:10.1016/j.jalgebra.2010.03.008

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arXiv · 0907.4505

Pieri resolutions for classical groups

Steven V Sam·Jerzy Weyman

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Abstract

We generalize the constructions of Eisenbud, Fløystad, and Weyman for equivariant minimal free resolutions over the general linear group, and we construct equivariant resolutions over the orthogonal and symplectic groups. We also conjecture and provide some partial results for the existence of an equivariant analogue of Boij-Söderberg decompositions for Betti tables, which were proven to exist in the non-equivariant setting by Eisenbud and Schreyer. Many examples are given.

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BibTeX RIS

Steven V Sam, Jerzy Weyman. 2012-05-26. Pieri resolutions for classical groups. https://doi.org/10.1016/j.jalgebra.2010.03.008

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