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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 ...
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...
Sensitivity experiments to mountain representations in spectral models
spectral models mountain representations
2015/9/28
This paper describes a set of sensitivity experiments to several formulations of orography. Three sets are considered: a "Standard" orography consisting of an envelope orography produced originally fo...
ON THE SURJECTIVITY OF MOD REPRESENTATIONS ASSOCIATED TO ELLIPTIC CURVES
MOD REPRESENTATIONS ASSOCIATED ELLIPTIC CURVES
2015/8/26
Let E be an elliptic curve over the rationals that does not have complex multiplication. For each prime `, the action of the absolute Galois group on the `-torsion points of E can be given in terms of...
One of the foundations of oriented matroid theory is the topological representation theorem of Folkman and Lawrence [8]. It says that an oriented (simple) matroid can be realized uniquely as an arrang...
Multiscale Representations for Manifold-Valued Data
Symmetric Space Lie Group Two-Scale Refi nement Scheme
2015/8/21
We describe multiscale representations for data observed on equispaced grids and taking
values in manifolds such as: the sphere S2, the special orthogonal group SO(3), the positive
definite ma...
Unipotent Representations and the Dual Pairs Correspondence
Dual Pairs Correspondence Unipotent Representations
2015/8/17
Much of the material in this talk was presented at the conference in honor
of Roger Howe. The slides are available at
http://math.mit.edu/conferences/howe/program.php
The theme of the talk is to n...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. In the case of real groups, the
results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. This conforms to the Lefschetz
principle which states that what is true for real groups is al...
SPHERICAL UNITARY REPRESENTATIONS FOR SPLIT REAL AND P-ADIC GROUPS
UNITARY REPRESENTATIONS P-ADIC GROUPS
2015/8/17
1.1. Positive de nite functions. We start with the classical notion of
positive de nite functions.
De nition. A continuous function f : R ! C is called positive de nite if
it satis es
(1...
Representations of matched pairs of groupoids and applications to weak Hopf algebras
groupoids and applications algebras
2015/8/14
We introduce the category of set-theoretic representations of a
matched pair of groupoids. This is a monoidal category endowed with a
monoidal functor f` to the category of quivers over the common b...
Building large-scale hierarchical models of the world with binary sparse distributed representations. or Building the world model with binary sparse distributed representations
analogy analogical mapping analogical retrieva
2015/7/30
Many researchers agree on the basic architecture of the "world model" where knowledge about the
world required for organization of agent's intelligent behavior is represented. However, most proposals...
Scattering in Flatland: Efficient Representations via Wave Atoms
Fast algorithm Wave propagation Boundary integral equation Computational harmonic analysis
2015/7/14
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis ...
Junction Modeling in Vehicle Navigation Maps and Multiple Representations
Cartography database generalization
2015/7/6
Generalization is certainly one of the most important current issues in cartography, with particular emphasis being placed on its
automation. This paper considers the automation of generalization app...
MODULARITY OF CERTAIN POTENTIALLY BARSOTTI-TATE GALOIS REPRESENTATIONS
CERTAIN POTENTIALLY REPRESENTATIONS
2015/7/6
where is the reduction of . These results were subject to hypotheses on the local
behavior of at `, i.e., the restriction of to a decomposition group at `, and to
irreducibility hypotheses on...