Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties

DOI10.1007/978-1-4939-1590-3_6zbMath1314.22007OpenAlexW128227035WikidataQ61440671 ScholiaQ61440671MaRDI QIDQ5250233

Thomas J. Enright, Markus Hunziker, W. Andrew Pruett

Publication date: 19 May 2015

Published in: Symmetry: Representation Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1590-3_6

zbMATH Keywords

Hermitian symmetric spacesKazhdan-Lusztig polynomialscategory \(\mathcal O\)determinantal varietiesSyzygies

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Syzygies, resolutions, complexes and commutative rings (13D02) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (6)

The Gelfand-Kirillov dimension of a unitary highest weight module ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Admissible representations of simple affine vertex algebras ⋮ The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals ⋮ Singular BGG complexes over isotropic 2-Grassmannian ⋮ Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices

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