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

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意見(jiàn)一致

0743-1643 ry articles that will be accessible to a broad audience.ServNolan 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,

HUSH

discord

Proof of the 2-part compositional shuffle conjecture, functions whose Dyck paths hit the diagonal by (. .,?. .,?.,?. .) and whose diagonal word is a shuffle of . increasing words of lengths . .,?. .,?.,?. .. In this paper we prove the case .?=?2 of this conjecture.

incision

,Sums of squares of Littlewood–Richardson coefficients and GL,-harmonic polynomials, then related to the Hilbert series of the .-invariant subspace in the GL.-harmonic polynomials (in the sense of Kostant), where . denotes a block diagonal embedding of a product of general linear groups. We also consider other specializations of this Hilbert series.

Emasculate

KIN

Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroupspal series representations. We look at the unitary representation theory of the classical lim-compact groups .(.), .(.) and .(.) in order to construct the inducing representations, and we indicate some of the analytic considerations in the actual construction of the induced representations.

Headstrong

Arithmetic invariant theory,y of the .-algebra of .-invariant polynomials on ., and the relation between these invariants and the .-orbits on ., usually under the hypothesis that the base field . is algebraically closed. In favorable cases, one can determine the geometric quotient . and can identify certain fibers of the morph

禍害隱伏

,Structure constants of Kac–Moody Lie algebras,ensional Lie algebras, which rely on the additive structure of the roots, it reduces to computations in the extended Weyl group first defined by Jacques Tits in about 1966. The new algorithm has some theoretical interest, and its basis is a mathematical result generalizing a theorem of Tits about th

摻假

,The Gelfand–Zeitlin integrable system and ,-orbits on the flag variety,d Wallach in 2006. We discuss results concerning the geometry of the set of strongly regular elements, which consists of the points where the Gelfand–Zeitlin flow is Lagrangian. We use the theory of .-orbits on the flag variety . of . to describe the strongly regular elements in the nilfiber of the