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020 _a9781493915903
_9978-1-4939-1590-3
024 7 _a10.1007/978-1-4939-1590-3
_2doi
050 4 _aQA252.3
050 4 _aQA387
072 7 _aPBG
_2bicssc
072 7 _aMAT014000
_2bisacsh
072 7 _aMAT038000
_2bisacsh
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
245 1 0 _aSymmetry: Representation Theory and Its Applications
_h[electronic resource] :
_bIn Honor of Nolan R. Wallach /
_cedited by Roger Howe, Markus Hunziker, Jeb F. Willenbring.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2014.
300 _aXXVIII, 538 p. 58 illus., 5 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics,
_x0743-1643 ;
_v257
505 0 _aPreface -- 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.
520 _aSymmetry 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.
650 0 _aMathematics.
650 0 _aAlgebraic geometry.
650 0 _aGroup theory.
650 0 _aTopological groups.
650 0 _aLie groups.
650 0 _aHarmonic analysis.
650 0 _aNumber theory.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aGroup Theory and Generalizations.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aNumber Theory.
650 2 4 _aAbstract Harmonic Analysis.
650 2 4 _aCombinatorics.
700 1 _aHowe, Roger.
_eeditor.
700 1 _aHunziker, Markus.
_eeditor.
700 1 _aWillenbring, Jeb F.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781493915897
830 0 _aProgress in Mathematics,
_x0743-1643 ;
_v257
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4939-1590-3
912 _aZDB-2-SMA
999 _c370901
_d370901