Quivers and the cohomology of homogeneous vector bundles

DOI10.1215/S0012-7094-06-13233-7zbMath1100.14012arXivmath/0403307OpenAlexW2162466372MaRDI QIDQ2496423

Elena Rubei, Giorgio Ottaviani

Publication date: 6 July 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403307

zbMATH Keywords

homogeneous vector bundlequiverhermitian symmetric variety

Mathematics Subject Classification ID

Related Items (16)

A Tannakian approach to dimensional reduction of principal bundles ⋮ A construction of equivariant bundles on the space of symmetric forms ⋮ STABILITY PATTERNS IN REPRESENTATION THEORY ⋮ Geometry and the complexity of matrix multiplication ⋮ Codimension one foliations on homogeneous varieties ⋮ Cotangent bundles of minuscule \(G/P\) ⋮ The moment map on the space of symplectic 3D Monge-Ampère equations ⋮ Stability of homogeneous bundles on \(\mathbb P^{3}\) ⋮ Principal parts bundles on projective spaces and quiver representations ⋮ Sections of homogeneous vector bundles ⋮ Resolutions of homogeneous bundles on \({\mathbb P}^2\). ⋮ GL-equivariant modules over polynomial rings in infinitely many variables ⋮ G-exceptional vector bundles on \(\mathbb P^2\) and representations of quivers ⋮ On secant varieties of compact Hermitian symmetric spaces ⋮ On the derived category of the Cayley plane II ⋮ Minimal free resolutions of ideals of minors associated to pairs of matrices

Cites Work

• Stability of homogeneous vector bundles on \({\mathbb{C}}{\mathbb{P}}_ n\)
• Vanishing theorems on compact hermitian symmetric spaces
• On the derived categories of coherent sheaves on some homogeneous spaces
• Young diagrams and determinantal varieties
• Vector bundles on complex projective spaces
• Explicit generalized Pieri maps
• Higgs bundles and local systems
• A very simple proof of Bott's theorem
• On the projective geometry of rational homogeneous varieties
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Holomorphic vector bundles on homogeneous spaces
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• On the invariant ideals of the symmetric algebra \(S.(V\oplus \Lambda ^ 2V)\)
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Homogeneous Vector Bundles and Koszul Algebras
• The Chow ring of the Cayley plane
• A generalization of the Littlewood-Richardson rule
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