Alexei Borodin, Grigori Olshanski

Representations of the Infinite Symmetric Group

• Gebundenes Buch

Produktbeschreibung

An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 168
• Erscheinungstermin: 31. Oktober 2016
• Englisch
• Abmessung: 239mm x 161mm x 15mm
• Gewicht: 367g
• ISBN-13: 9781107175556
• ISBN-10: 1107175550
• Artikelnr.: 45331495

Autorenporträt

Alexei Borodin is a Professor of Mathematics at the Massachusetts Institute of Technology.

Inhaltsangabe

Introduction; Part I. Symmetric Functions and Thoma's Theorem: 1. Preliminary facts from representation theory of finite symmetric groups; 2. Theory of symmetric functions; 3. Coherent systems on the Young graph; 4. Extreme characters and Thoma's Theorem; 5. A toy model (the Pascal Graph) and de Finetti's Theorem; 6. Asymptotics of relative dimension in the Young graph; 7. Boundaries and Gibbs measures on paths; Part II. Unitary Representations: 8. Preliminaries and Gelfand pairs; 9. Classification of general spherical type representations; 10. Realization of irreducible spherical representations of (S(
) × S(
), diagS(
)); 11. Generalized regular representations Tz; 12. Disjointness of representations Tz; References; Index.