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El. knyga: Symmetry: Representation Theory and Its Applications: In Honor of Nolan R. Wallach

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  • Formatas: PDF+DRM
  • Serija: Progress in Mathematics 257
  • Išleidimo metai: 04-Jan-2015
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781493915903
  • Formatas: PDF+DRM
  • Serija: Progress in Mathematics 257
  • Išleidimo metai: 04-Jan-2015
  • Leidėjas: Springer-Verlag New York Inc.
  • Kalba: eng
  • ISBN-13: 9781493915903

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Nolan Wallach's mathematical research is remarkable in both its breadth and  depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas.

The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. 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, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.
Preface xiii
Publications of Nolan R. Wallach xvii
Unitary Hecke algebra modules with nonzero Dirac cohomology
1(20)
Dan Barbasch
Dan Ciubotaru
On the nilradical of a parabolic subgroup
21(12)
Karin Baur
Arithmetic invariant theory
33(22)
Manjul Bhargava
Benedict H. Gross
Structure constants of Kac-Moody Lie algebras
55(30)
Bill Casselman
The Gelfand-Zeitlin integrable system and A-orbits on the flag variety
85(36)
Mark Colarusso
Sam Evens
Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties
121(64)
Thomas J. Enright
Markus Hunziker
W. Andrew Pruett
A conjecture of Sakellaridis--Venkatesh on the unitary spectrum of spherical varieties
185(42)
Wee Teck Gan
Raul Gomez
Proof of the 2-part compositional shuffle conjecture
227(32)
Adriano M. Garsia
Gouce Xin
Mike Zabrocki
On symmetric SL-invariant polynomials in four qubits
259(10)
Gilad Gour
Nolan R. Wallach
Finite maximal tori
269(36)
Gang Han
David A. Vogan Jr.
Sums of squares of Littlewood--Richardson coefficients and GLn-harmonic polynomials
305(22)
Pamela E. Harris
Jeb F. Willenbring
Polynomial functors and categorifications of Fock space
327(26)
Jiuzu Hong
Antoine Touze
Oded Yacobi
Pieri algebras and Hibi algebras in representation theory
353(32)
Roger Howe
Action of the conformal group on steady state solutions to Maxwell's equations and background radiation
385(34)
Bertram Kostant
Nolan R. Wallach
Representations with a reduced null cone
419(56)
Hanspeter Kraft
Gerald W. Schwarz
M-series and Kloosterman--Selberg zeta functions for r-rank one groups
475(16)
Roberto J. Miatello
Nolan R. Wallach
Ricci flow and manifolds with positive curvature
491(14)
Lei Ni
Remainder formula and zeta expression for extremal CFT partition functions
505(14)
Floyd L. Williams
Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups
519
Joseph A. Wolf