We construct stable vector bundles on the space of symmetric forms of degree in variables which are equivariant for the action of and admit an equivariant free resolution of length . For , we obtain new examples of stable vector bundles of rank on , which are moreover equivariant for . The presentation matrix of these bundles attains Westwick's upper bound for the dimension of vector spaces of matrices of constant rank and fixed size.
Cite this article
Ada Boralevi, Daniele Faenzi, Paolo Lella, A construction of equivariant bundles on the space of symmetric forms. Rev. Mat. Iberoam. 38 (2022), no. 3, pp. 761–782DOI 10.4171/RMI/1307