A note on the Poincaré resolution of the coordinate ring of the Grassmannian

DOI10.1016/0021-8693(92)90040-SzbMath0778.14016MaRDI QIDQ1204400

David A. Buchsbaum, Kaan Akin

Publication date: 28 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Koszul complexhomogeneous coordinate ring of a GrassmannianPoincaré resolution

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Cites Work

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• Characteristic-free representation theory of the general linear group
• Resolutions, dual pairs, and character formulas
• On complexes relating the Jacobi-Trudy identity with the Bernstein- Gelfand-Gelfand resolution
• Young diagrams and determinantal varieties
• Polynomial representations of \(GL_n\)
• Schur functors and Schur complexes
• On complexes relating the Jacobi-Trudi identity with the Bernstein- Gelfand-Gelfand resolution. II

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