The geometry of representations of \(A_m\)

DOI10.1007/BF01679706zbMath0477.14027MaRDI QIDQ1160165

Silvana Abeasis, Hanspeter Kraft, Alberto Del Fra

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163521

zbMATH Keywords

orbit closuresrational singularitiesdeterminantal singularitiesnormal Cohen-Macaulayminimal degeneration of singularitiesrepresentations of Dynkin- quiver

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Group actions on varieties or schemes (quotients) (14L30) Deformations of singularities (14B07) Representation theory of associative rings and algebras (16Gxx)

Related Items (18)

Singularités rationnelles et quotients par les groupes réductifs. (Rational singularities and quotients by reductive groups) ⋮ Geometric aspects of iterated matrix multiplication ⋮ REPRESENTATION VARIETIES OF ALGEBRAS WITH NODES ⋮ Homological approach to the Hernandez-Leclerc construction and quiver varieties ⋮ AN IDENTITY OF PARABOLIC KAZHDAN–LUSZTIG POLYNOMIALS ARISING FROM SQUARE-IRREDUCIBLE MODULES ⋮ Tilting modules of affine quasi-hereditary algebras ⋮ Tempered modules in exotic Deligne-Langlands correspondence ⋮ On characters and formal degrees of discrete series of affine Hecke algebras of classical types. ⋮ Four positive formulae for type \(A\) quiver polynomials ⋮ Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.) ⋮ Universal Schubert polynomials ⋮ Type \(A\) quiver loci and Schubert varieties ⋮ Generalized semi-invariant distributions on \(p\)-adic spaces ⋮ On the Complement of the Dense Orbit for a Quiver of Type 𝔸 ⋮ Free resolutions of orbit closures of Dynkin quivers ⋮ Stanley symmetric functions and quiver varieties ⋮ Quiver Hall-Littlewood functions and Kostka-Shoji polynomials ⋮ Minimal free resolutions of ideals of minors associated to pairs of matrices

Cites Work

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• Toroidal embeddings. I
• Closures of conjugacy classes of matrices are normal
• Classi coniugate in Gl(n,C)
• Minimal singularities in \(GL_ n\).
• Sur la théorie des invariants des groupes classiques
• On the collapsing of homogeneous bundles
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Some applications of the Frobenius in characteristic 0
• Images of homogeneous vector bundles and varieties of complexes
• Singularities in the Nilpotent Scheme of a Classical Group

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