Exotic Springer fibers for orbits corresponding to one-row bipartitions

DOI10.1007/s00031-020-09613-0zbMath1495.14072arXiv1810.03731OpenAlexW3084212955MaRDI QIDQ2674775

Arik Wilbert, Neil Saunders

Publication date: 14 September 2022

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03731

zbMATH Keywords

Temperley-Lieb algebraSpringer representationsexotic Springer fibersone-row bipartitions

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graded cellular bases for Temperley-Lieb algebras of type A and B
• Exotic symmetric space over a finite field. II
• Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup
• 2-block Springer fibers: convolution algebras and coherent sheaves
• Gradings on walled Brauer algebras and Khovanov's arc algebra
• A topological construction for all two-row Springer varieties
• A functor-valued invariant of tangles
• Knot homology via derived categories of coherent sheaves. I: The \(\mathfrak{sl}(2)\)-case
• Orbit closures in the enhanced nilpotent cone
• An exotic Deligne-Langlands correspondence for symplectic groups.
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Classes unipotentes et sous-groupes de Borel
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• The blob algebra and the periodic Temperley-Lieb algebra
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.
• Categorification of the Kauffman bracket skein module of \(I\)-bundles over surfaces
• HOMFLYPT homology for links in handlebodies via type \textsf{A} Soergel bimodules
• Schur-Weyl duality, Verma modules, and row quotients of Ariki-Koike algebras
• Two-block Springer fibers of types C and D: a diagrammatic approach to Springer theory
• Representations of the generalized symmetric groups
• Irreducible components of exotic Springer fibres. II: The exotic Robinson-Schensted algorithm
• A GRAPHICAL CALCULUS FOR 2-BLOCK SPALTENSTEIN VARIETIES
• Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪
• Pieces of nilpotent cones for classical groups
• Equivariant coherent sheaves on the exotic nilpotent cone
• Deformations of nilpotent cones and Springer correspondences
• Springer representations on the Khovanov Springer varieties
• Topology of two-row Springer fibers for the even orthogonal and symplectic group
• An algebraic study of extension algebras
• Irreducible components of two-row Springer fibers for all classical types
• Parabolic category O, perverse sheaves on Grassmannians, Springer fibres and Khovanov homology
• On the springer representations of the weyl groups of classical algebraic groups
• Symmetrische Brücken und Knotentheorie zu den Dynkin-Diagrammen vom Typ B.
• Multiparameter quantum Schur duality of type B
• Annular Khovanov homology and knotted Schur–Weyl representations
• Irreducible components of exotic Springer fibres
• Generalized Blob Algebras and Alcove Geometry
• Highest weight categories arising from Khovanov's diagram algebra I: cellularity
• One-boundary Temperley–Lieb algebras in the XXZ and loop models
• 2-row Springer Fibres and Khovanov Diagram Algebras for Type D
• CROSSINGLESS MATCHINGS AND THE COHOMOLOGY OF (n, n) SPRINGER VARIETIES
• An invariant of tangle cobordisms via subquotients of arc rings
• On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\)
• \(G(\ell,k,d)\)-modules via groupoids