Gelfand pairs and spherical functions for Iwahori-Hecke algebras
Shintarou Yanagida
TL;DR
This paper extends the concept of Gelfand pairs and spherical functions to Iwahori-Hecke algebras, providing a new framework for their analysis and applications in algebraic structures.
Contribution
It introduces the notions of Gelfand pairs and zonal spherical functions specifically for Iwahori-Hecke algebras, expanding their theoretical understanding.
Findings
Defined Gelfand pairs for Iwahori-Hecke algebras
Developed the theory of zonal spherical functions in this context
Established foundational properties and potential applications
Abstract
We introduce the notion of Gelfand pairs and zonal spherical functions for Iwahori-Hecke algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons