When are the natural embeddings of classical invariant rings pure?

Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical representations as in Weyl’s book: For the general line...

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Bibliographic Details
Main Authors: Melvin Hochster, Jack Jeffries, Vaibhav Pandey, Anurag K. Singh
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000671/type/journal_article