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Abstract: We generalize the constructions of Eisenbud, Fl{\o}ystad, and Weyman forequivariant minimal free resolutions over the general linear group, and weconstruct equivariant resolutions over the orthogonal and symplectic groups. Wealso conjecture and provide some partial results for the existence of anequivariant analogue of Boij-S\-oderberg decompositions for Betti tables, whichwere proven to exist in the non-equivariant setting by Eisenbud and Schreyer.Many examples are given.



Author: Steven V Sam, Jerzy Weyman

Source: https://arxiv.org/







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