Primary ideals associated to the linear strands of Lascoux's resolution and syzygies of the corresponding irreducible representations of the Lie superalgebra \(\mathfrak {gl}(m|n)\)
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Publication:875913
DOI10.1016/j.jalgebra.2003.11.015zbMath1171.17002OpenAlexW1986622678WikidataQ115351767 ScholiaQ115351767MaRDI QIDQ875913
Publication date: 16 April 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.11.015
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Related Items (6)
Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant's conjecture ⋮ Derived supersymmetries of determinantal varieties ⋮ The spectrum of a twisted commutative algebra ⋮ Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex ⋮ The syzygies of some thickenings of determinantal varieties ⋮ The irreducible tensor representations of \(\text{gl}(m| 1)\) and their generic homology.
Cites Work
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- Complexes associated with trace and evaluation. Another approach to Lascoux's resolution
- Young diagrams and determinantal varieties
- Resolutions of determinantal ideals: The submaximal minors
- Schur functors and Schur complexes
- Syzygies des variétés déterminantales
- Minimal free resolutions of determinantal ideals and irreducible representations of the Lie superalgebra \(gl(m\mid n)\)
- Koszul Duality Patterns in Representation Theory
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