Titlebook: Symmetry: Representation Theory and Its Applications; In Honor of Nolan R. Roger Howe,Markus Hunziker,Jeb F. Willenbring Book 2014 Springer

neoplasm

Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties,oach to a wide variety of interconnected topics including posets of noncompact roots, canonical reduced expressions, rational smoothness of Schubert varieties, parabolic Kazhdan–Lusztig polynomials, equivalences of categories of highest weight modules, BGG resolutions of unitary highest weight modul

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Proof of the 2-part compositional shuffle conjecture,notion of “touch composition” of a Dyck path, whose parts yield the positions where the path touches the diagonal. They conjectured that the polynomial ., where . is essentially a rescaled Hall–Littlewood polynomial and . is the Macdonald eigen-operator introduced in [1], enumerates by . the parking

SPALL

胎儿

,Sums of squares of Littlewood–Richardson coefficients and GL,-harmonic polynomials,nd examine a symmetric function which stably describes the Hilbert series for the invariant ring with respect to the multigradation by degree. The terms of this Hilbert series may be described as a sum of squares of Littlewood–Richardson coefficients. A “principal specialization” of the gradation is

Anthem

闲逛

,Action of the conformal group on steady state solutions to Maxwell’s equations and background radiaace is shown to break up into four irreducible unitarizable smooth Fréchet representations of moderate growth. An explicit inner product is defined on each representation. The energy spectrum of each of these representations is studied and related to plane wave solutions. The steady state solutions

encyclopedia

Representations with a reduced null cone,stion. Is the null cone . reduced, i.e., is the ideal of . generated by .-invariant polynomials? We have complete results when . is ., . or a simple group of adjoint type, and also when . is semisimple of adjoint type and the .-module . is irreducible.

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,M-series and Kloosterman–Selberg zeta functions for ℝ-rank one groups,[.], in terms of Kloosterman–Selberg zeta functions .. As a consequence we show that the meromorphic continuation of . to . follows from the meromorphic continuation of the .-series. We also give a description of the pole set in the region ..

Entreaty

aggressor

Remainder formula and zeta expression for extremal CFT partition functions, 24., where . is a positive integer. The formula encodes, in particular, asymptotics of these coefficients and it provides for additional corrections to Bekenstein–Hawking black hole entropy. We also relate these partition functions to a Patterson–Selberg zeta function. More generally, when . is div