Eigenvalues of the Vertex Set Hecke Algebra of an Affine Building

DOI10.1007/978-88-470-2853-1_12zbMath1291.51008OpenAlexW948646587MaRDI QIDQ4913303

Anna Zappa, Anna Maria Mantero

Publication date: 5 April 2013

Published in: Trends in Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-88-470-2853-1_12

zbMATH Keywords

eigenvalueseigenfunctionsPoisson kernelaffine buildingHecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Buildings and the geometry of diagrams (51E24) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

Macdonald formula for spherical functions on affine buildings ⋮ A representation of the chamber set Hecke algebra of an affine building ⋮ Eigenspaces of operator algebras on the fundamental apartment of an affine building ⋮ Boundary behavior of generalized Poisson integrals on buildings of type \(\widetilde{A}_2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Macdonald formula for spherical functions on affine buildings
• Spherical harmonic analysis on affine buildings
• Eigenfunctions of the Laplace operators for a building of type \(\tilde A_2\)
• Buildings and Hecke algebras.