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Abstract

Working in a polynomial ring (Formula presented.), where (Formula presented.) is an arbitrary commutative ring with 1, we consider the (Formula presented.) th Veronese subalgebras (Formula presented.), as well as natural (Formula presented.) -submodules (Formula presented.) inside (Formula presented.). We develop and use characteristic-free theory of Schur functors associated to ribbon skew diagrams as a tool to construct simple (Formula presented.) -equivariant minimal free (Formula presented.) -resolutions for the quotient ring (Formula presented.) and for these modules (Formula presented.). These also lead to elegant descriptions of (Formula presented.) for all (Formula presented.) and (Formula presented.) for any pair of these modules (Formula presented.).

Document Type

Article

Publication Date

1-1-2024

Notes/Citation Information

Publisher Copyright: © 2023 The Authors. Journal of the London Mathematical Society is copyright © London Mathematical Society.

Digital Object Identifier (DOI)

10.1112/jlms.12848

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