Minimal free resolutions of determinantal ideals and irreducible representations of the Lie superalgebra \(gl(m\mid n)\)

DOI10.1006/jabr.1997.7101zbMath0898.17003OpenAlexW1981114841WikidataQ115395975 ScholiaQ115395975MaRDI QIDQ1375369

Kaan Akin, Jerzy Weyman

Publication date: 21 July 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7101

zbMATH Keywords

determinantal idealsrepresentations of Lie superalgebrasatypical modulesclassical simple Lie superalgebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linkage, complete intersections and determinantal ideals (13C40) Superalgebras (17A70)

Related Items

Minimal free resolutions of determinantal ideals and irreducible representations of the Lie superalgebra \(gl(m\mid n)\), Primary ideals associated to the linear strands of Lascoux's resolution and syzygies of the corresponding irreducible representations of the Lie superalgebra \(\mathfrak {gl}(m|n)\), Derived supersymmetries of determinantal varieties, GL-EQUIVARIANT MODULES OVER POLYNOMIAL RINGS IN INFINITELY MANY VARIABLES. II, 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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