On commutative algebra and characteristic-free representation theory
DOI10.1016/S0022-4049(99)00147-4zbMath0978.13007OpenAlexW1997087942MaRDI QIDQ1582728
Publication date: 18 January 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00147-4
free resolutionWeyl moduleKoszul complexdeterminantal idealmaximal minorsprojective resolutioncharacteristic free representation theory
Representation theory for linear algebraic groups (20G05) Linkage, complete intersections and determinantal ideals (13C40) Actions of groups on commutative rings; invariant theory (13A50) Ideals and multiplicative ideal theory in commutative rings (13A15)
Cites Work
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- Characteristic-free representation theory of the general linear group
- Resolutions of determinantal ideals: The submaximal minors
- Schur functors and Schur complexes
- Some structure theorems for finite free resolutions
- On the modular representations of the general linear and symmetric groups
- Generic free resolutions and a family of generically perfect ideals
- Two new functors from modules to algebras
- Invariant theory, Young bitableaux, and combinatorics
- Syzygies des variétés déterminantales
- A geometric theory of the Buchsbaum-Rim multiplicity
- Characteristic-free representation theory of the general linear group. II: Homological considerations
- Multiplicities and equisingularity of ICIS germs
- Ideals defined by matrices and a certain complex associated with them
- A new construction in homological algebra.
- Projective resolutions of Weyl modules.
- Multiplicities in graded rings II: integral equivalence and the Buchsbaum–Rim multiplicity
- Mixed Buchsbaum-Rim Multiplicities
- A Generalized Koszul Complex. I
- A Generalized Koszul Complex. II. Depth and Multiplicity
- A Generalized Koszul Complex. III. A Remark on Generic Acyclicity
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
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