Symmetry: Representation Theory and Its Applications

- 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