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Algebraic Combinatorics (Hardcover): Eiichi Bannai, Etsuko Bannai, Tatsuro Ito, Rie Tanaka Algebraic Combinatorics (Hardcover)
Eiichi Bannai, Etsuko Bannai, Tatsuro Ito, Rie Tanaka
R4,437 Discovery Miles 44 370 Ships in 12 - 19 working days

Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.

Gelfand Triples and Their Hecke Algebras - Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups... Gelfand Triples and Their Hecke Algebras - Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups (Paperback, 1st ed. 2020)
Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli; Foreword by Eiichi Bannai
R1,644 Discovery Miles 16 440 Ships in 10 - 15 working days

This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.

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