Ideal triangles in Euclidean buildings and branching to Levi subgroups.

DOI10.1016/j.jalgebra.2012.04.001zbMath1272.20033arXiv1011.6636OpenAlexW2963892878MaRDI QIDQ1931681

John J. Millson, Thomas J. Haines, Michael Kapovich

Publication date: 15 January 2013

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

Full work available at URL: https://arxiv.org/abs/1011.6636

zbMATH Keywords

reductive groupsbranching rulesBruhat-Tits buildingsEuclidean buildingsHecke rings

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Groups with a (BN)-pair; buildings (20E42)

Related Items (2)

Chimney retractions in affine buildings encode orbits in affine flag varieties ⋮ A survey of the additive eigenvalue problem (with Appendix by M. Kapovich)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equidimensionality of convolution morphisms and applications to saturation problems.
• Structure of the tensor product semigroup
• A path model for geodesics in Euclidean buildings and its applications to representation theory
• Convex functions on symmetric spaces, side lengths of polygons and the stability inequalities for weighted configurations at infinity
• The eigencone and saturation for Spin(8).
• Conformal blocks and generalized theta functions
• Perverse sheaves on affine Grassmannians and Langlands duality
• Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\)
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Reductive groups over a local field
• Polygons in buildings and their refined side lengths
• Dimensions of some affine Deligne–Lusztig varieties
• Eigencone, saturation and Horn problems for symplectic and odd orthogonal groups
• Generalized Kostant convexity theorems
• Alcoves associated to special fibers of local models
• Affine Deligne–Lusztig varieties in affine flag varieties
• Coadjoint orbits, moment polytopes, and the Hilbert-Mumford criterion
• The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra

This page was built for publication: Ideal triangles in Euclidean buildings and branching to Levi subgroups.