Combinatorics in affine flag varieties

DOI10.1016/j.jalgebra.2008.04.015zbMath1247.17017arXiv0801.0709OpenAlexW2038977420MaRDI QIDQ834842

Arun Ram, James Parkinson, Christoph Schwer

Publication date: 27 August 2009

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

Full work available at URL: https://arxiv.org/abs/0801.0709

zbMATH Keywords

path modelMV cyclesloop Grassmannian

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Grassmannians, Schubert varieties, flag manifolds (14M15) Kac-Moody groups (20G44)

Related Items (12)

Shadows in the wild - folded galleries and their applications ⋮ Convex polytopes for the central degeneration of the affine Grassmannian ⋮ Automorphisms and opposition in spherical buildings of exceptional type, I ⋮ Chimney retractions in affine buildings encode orbits in affine flag varieties ⋮ Affine Deligne-Lusztig varieties and folded galleries governed by chimneys ⋮ THE THICKNESS OF SCHUBERT CELLS AS INCIDENCE STRUCTURES ⋮ Positive Level, Negative Level and Level Zero ⋮ Distance regularity in buildings and structure constants in Hecke algebras ⋮ Shadows in Coxeter groups ⋮ Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties ⋮ Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators ⋮ Bijective projections on parabolic quotients of affine Weyl groups

Cites Work

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• Uniqueness and presentation of Kac-Moody groups over fields
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• Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities
• Automorphisms of affine Kac-Moody groups and related Chevalley groups over rings
• LS galleries, the path model, and MV cycles
• Crystals via the affine Grassmannian
• Representations of algebraic groups over a 2-dimensional local field
• A Cartan decomposition for \(p\)-adic loop groups
• A Further Refinement of the Bruhat Decomposition
• Groupes de Kac–Moody déployés sur un corps local, immeubles microaffines

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