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Symmetry: Representation Theory and Its Applications

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Cover of 'Symmetry: Representation Theory and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Unitary Hecke algebra modules with nonzero Dirac cohomology
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    Chapter 2 On the nilradical of a parabolic subgroup
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    Chapter 3 Arithmetic invariant theory
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    Chapter 4 Structure constants of Kac–Moody Lie algebras
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    Chapter 5 The Gelfand–Zeitlin integrable system and K -orbits on the flag variety
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    Chapter 6 Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties
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    Chapter 7 A conjecture of Sakellaridis–Venkatesh on the unitary spectrum of spherical varieties
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    Chapter 8 Proof of the 2-part compositional shuffle conjecture
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    Chapter 9 On symmetric SL-invariant polynomials in four qubits
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    Chapter 10 Finite maximal tori
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    Chapter 11 Sums of squares of Littlewood–Richardson coefficients and GL n -harmonic polynomials
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    Chapter 12 Polynomial functors and categorifications of Fock space
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    Chapter 13 Pieri algebras and Hibi algebras in representation theory
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    Chapter 14 Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation
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    Chapter 15 Representations with a reduced null cone
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    Chapter 16 M-series and Kloosterman–Selberg zeta functions for ℝ-rank one groups
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    Chapter 17 Ricci flow and manifolds with positive curvature
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    Chapter 18 Remainder formula and zeta expression for extremal CFT partition functions
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    Chapter 19 Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups
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