Symmetry: Representation Theory and Its Applications : In Honor of Nolan R. Wallach / edited by Roger Howe, Markus Hunziker, Jeb F. Willenbring.

Format:

Book

Contributor:

Howe, Roger., Editor.

Hunziker, Markus., Editor.

Willenbring, Jeb F., Editor.

Series:

Progress in Mathematics, 0743-1643 ; 257

Language:

English

Subjects (All):

Topological groups.

Lie groups.

Group theory.

Geometry, Algebraic.

Number theory.

Harmonic analysis.

Combinatorial analysis.

Topological Groups, Lie Groups.

Group Theory and Generalizations.

Algebraic Geometry.

Number Theory.

Abstract Harmonic Analysis.

Combinatorics.

Wallach, Nolan R.

Local Subjects:

Topological Groups, Lie Groups.

Group Theory and Generalizations.

Algebraic Geometry.

Number Theory.

Abstract Harmonic Analysis.

Combinatorics.

Physical Description:

1 online resource (562 p.)

Edition:

1st ed. 2014.

Place of Publication:

New York, NY : Springer New York : Imprint: Birkhäuser, 2014.

Language Note:

English

Summary:

Symmetry has served as an organizing principle in Nolan R. Wallach's fundamental contributions to representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. This volume is a collection of 19 invited articles that pay tribute to the breadth and depth of Wallach's work. The mostly expository articles are written by distinguished mathematicians and contain sufficient preliminary material so as to reach the widest possible audience. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch K. Baur M. Bhargava B. Casselman D. Ciubotaru M. Colarusso T. J. Enright S. Evens W. T. Gan A. M. Garsia R. Gomez G. Gour B. H. Gross G. Han P. E. Harris J. Hong R. E. Howe M. Hunziker B. Kostant H. Kraft R. J. Miatello L. Ni W. A. Pruett G. W. Schwarz A. Touzé D. A. Vogan N. R. Wallach J. F. Willenbring F. L. Williams J. A. Wolf G. Xin O. Yacobi M. Zabrocki.

Contents:

Preface

Publications of Nolan R. Wallach

Unitary Hecke algebra modules with nonzero Dirac cohomology

On the nilradical of a parabolic subgroup

Arithmetic invariant theory

Structure constants of Kac-Moody Lie algebras

The Gelfand-Zeitlin integrable system and K-orbits on the flag variety

Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties

A conjecture of Sakellaridis-Venkatesh on the unitary spectrum of spherical varieties

Proof of the 2-part compositional shuffle conjecture

On symmetric SL-invariant polynomials in four qubits

Finite maximal tori

Sums of Littlewood–Richardson coefficients and GLn-harmonic polynomials

Polynomial functors and categorifications of Fock space

Pieri algebras and Hibi algebras in representation theory

Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation

Representations with a reduced null cone

M-series and Kloosterman–Selberg zetafunctions for R-rank one groups

Ricci flow and manifolds with positive curvature

Remainder formula and zeta expression for extremal CFT partition functions

Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups.

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-4939-1590-8

OCLC:

908088139