The irreducible tensor representations of \(\text{gl}(m| 1)\) and their generic homology.

DOI10.1006/jabr.1999.7986zbMath1041.17005OpenAlexW1979568728MaRDI QIDQ1583641

Jerzy Weyman, Kaan Akin

Publication date: 6 March 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7986

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (3)

Derived supersymmetries of determinantal varieties ⋮ Orthosymplectic Lie superalgebras, Koszul duality, and a complete intersection analogue of the Eagon-Northcott complex ⋮ Intertwining numbers; The n-rowed shapes

Cites Work

• Primary ideals associated to the linear strands of Lascoux's resolution and syzygies of the corresponding irreducible representations of the Lie superalgebra \(\mathfrak {gl}(m|n)\)
• Complexes associated with trace and evaluation. Another approach to Lascoux's resolution
• Schur functors and Schur complexes
• On the generic free resolutions
• Minimal free resolutions of determinantal ideals and irreducible representations of the Lie superalgebra \(gl(m\mid n)\)
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
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