We show that the action of the group G on each level of the rooted binary tree T-2 is 2-point homogeneous. giving rise to symmetric Gelfand pairs. The corresponding decomposition into irreducible G-submodules and the associated spherical functions are described. (c) 2012 Elsevier Ltd. All rights reserved.
Appendix: Gelfand pairs associated with the action of G / Daniele, D'Angeli; Donno, Alfredo. - In: EUROPEAN JOURNAL OF COMBINATORICS. - ISSN 0195-6698. - 33:7(2012), pp. 1422-1426. [10.1016/j.ejc.2012.03.007]
Appendix: Gelfand pairs associated with the action of G
DONNO, Alfredo
2012
Abstract
We show that the action of the group G on each level of the rooted binary tree T-2 is 2-point homogeneous. giving rise to symmetric Gelfand pairs. The corresponding decomposition into irreducible G-submodules and the associated spherical functions are described. (c) 2012 Elsevier Ltd. All rights reserved.File allegati a questo prodotto
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