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Symmetry: Representation Theory and Its Applications: In Honor of Nolan R. Wallach Softcover reprint of the original 1st ed. 2014 [Minkštas viršelis]

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  • Formatas: Paperback / softback, 538 pages, aukštis x plotis: 235x155 mm, weight: 9516 g, 5 Illustrations, color; 53 Illustrations, black and white; XXVIII, 538 p. 58 illus., 5 illus. in color., 1 Paperback / softback
  • Serija: Progress in Mathematics 257
  • Išleidimo metai: 24-Sep-2016
  • Leidėjas: Birkhauser Boston Inc
  • ISBN-10: 1493943847
  • ISBN-13: 9781493943845
  • Formatas: Paperback / softback, 538 pages, aukštis x plotis: 235x155 mm, weight: 9516 g, 5 Illustrations, color; 53 Illustrations, black and white; XXVIII, 538 p. 58 illus., 5 illus. in color., 1 Paperback / softback
  • Serija: Progress in Mathematics 257
  • Išleidimo metai: 24-Sep-2016
  • Leidėjas: Birkhauser Boston Inc
  • ISBN-10: 1493943847
  • ISBN-13: 9781493943845
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.- 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 LittlewoodRichardson 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 Maxwells equations and
background radiation.- Representations with a reduced null cone.- M-series
and KloostermanSelberg 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.