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Stability of Phase Retrievable Frames
Frames phase retrieval problem perturbations critical redundancy
2015/9/29
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
This paper is the sequel to The radiance obstruction and par-
allel forms on a;ffne manifolds (lYans. Amer. Math. Soc. 286 (1984),
629 649) which introduced a new family of secondary characteristi...
ON SATAKE PARAMETERS FOR REPRESENTATIONS WITH PARAHORIC FIXED VECTORS
SATAKE PARAMETERS PARAHORIC
2015/9/29
This article, a continuation of [HRo], constructs the Satake parameter for any
irreducible smooth J-spherical representation of a p-adic group, where J is any parahoric
subgroup. This parametrizes s...
THE SATAKE ISOMORPHISM FOR SPECIAL MAXIMAL PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G denote a connected reductive group over a nonarchimedean
local field F. Let K denote a special maximal parahoric subgroup of G(F). We
establish a Satake isomorphism for the Hecke algebra...
THE BASE CHANGE FUNDAMENTAL LEMMA FOR CENTRAL ELEMENTS IN PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G be an unramified group over a p-adic field F, and let E/F be a finite
unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the
ma...
ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
Examples of the Atlas of Lie Groups and Representations
the Atlas Lie Groups Representations
2015/9/28
The Atlas of Lie Groups and Representations is a project in representation theory of real reductive groups. Themain goal of the atlas computer software, currently under development, is to compute the ...
Duality for Nonlinear Simply Laced Groups
Local Langlands Conjecture nonlinear groups Kazhdan-Lusztig theory
2015/9/28
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
Unitary representations of real reductive groups
Unitary representations real reductive groups
2015/9/28
The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations of a real reductive Lie group G. Even before explaining the nature of the algorithm...
Let T be a complete, first-order theory in a finite or countable
language having infinite models. Let I(T, κ) be the number of isomorphism
types of models of T of cardinality κ. We denote by µ...
针对三维建模中最常见的三角网格模型，采用基于代数学的方法来改进常见的基于几何学的三角形与三 角形求交测试算法。该算法利用暴力策略中的线性方程组。分别概述常见的和改进的三角形与三角形求交测试算法， 并给出算法的具体实施阶段。结果表明：与几种经典算法相比，改进的算法效率有一定优势，可通过重用不同方程 中的公共变量来加快求解的速度。
This account, part historical and part original, is based on a series of lectures of Graham Higman on januarials, namely coset graphs for actions of triangle groups which become 2-face maps when embed...
ELLIPTIC CURVES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
ELLIPTIC CURVES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...