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Let l=3 or 5. For any integer n>1, we produce an infinite set of triples
(L, E1, E2), where L is a number field with degree l
3(n&1) over Q and E1 and E2
are elliptic curves over L with distinct j-...
In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich
group that can be analyzed via Tate duality. But we want more, namely to preserve local
properties of ...
Reduction of Decentralized Control Problems to Tractable Representations
Tractable Representations Control Problems
2015/6/19
For decentralized control problems with quadratically invariant information constraints, the optimal controller may be found efficiently. In this paper, we show that there are systems which are not qu...
New Tight Frames of Curvelets and Optimal Representations of Objects with C2 Singularities
Curvelets wavelets second dyadic decomposition edges nonlinear approximation singularities thresholding Radon transform
2015/6/17
This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges.Conceptually, the curvelet transfo...
Medieval Representations of Change and Their Early Modern Application (TOPOI – Towards a Historical Epistemology of Space)
Medieval Representations Change and Their Early Modern
2015/3/26
Medieval Representations of Change and Their Early Modern Application (TOPOI – Towards a Historical Epistemology of Space).
Representations of max-stable processes based on single extreme events
extreme value statistics incremental representation max-stable process mixed moving maxima peaks-over-threshold weak convergence on function space
2012/11/23
This paper provides the basis for new methods of inference for max-stable processes \xi\ on general spaces that admit a certain incremental representation, which, in important cases, has a much simple...
Vector coherent state representations and their inner products
Vector coherent state representations their inner products Mathematical Physics
2012/7/11
Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras. Repre...
Representations of the Kauffman skein algebra II: punctured surfaces
Representations of the Kauffman skein algebra II punctured surfaces Geometric Topology
2012/6/29
In earlier work, we constructed invariants of irreducible representations of the Kauffman skein algebra of a surface. We introduce here an inverse construction, which to a set of possible invariants a...
Representations of the Kauffman skein algebra I: invariants and miraculous cancellations
Representations of the Kauffman skein algebra I invariants miraculous cancellations Geometric Topology
2012/6/29
We study finite-dimensional representations of the Kauffman skein algebra of a surface S. In particular, we construct invariants of such irreducible representations when the underlying parameter q is ...
From etale $P_{+}$-representations to $G$-equivariant sheaves on $G/P$
From etale $P_{+}$-representations $G$-equivariant sheaves $G/P$ Number Theory
2012/6/21
Let $K/\mathbb Q_{p}$ be a finite extension with ring of integers $o$, let $G$ be a connected reductive split $\mathbb Q_{p}$-group of Borel subgroup $P=TN$ and let $\alpha$ be a simple root of $T$ in...
Recognising the small Ree groups in their natural representations
the small Ree groups their natural representations Group Theory
2012/6/15
We present Las Vegas algorithms for constructive recognition and constructive membership testing of the Ree groups 2G_2(q) = Ree(q), where q = 3^{2m + 1} for some m > 0, in their natural representatio...
Residual automorphic forms and spherical unitary representations of exceptional groups
Arthur’s conjectures unitary dual residual Eisenstein series automorphic realizations
2012/5/25
Arthur has conjectured that the unitarity of a number of representations can be shown by finding appropriate automorphic realizations. This has been verified for classical groups by Moeglin and for th...
On a class of tensor product representations for the orthosymplectic superalgebra
orthosymplectic algebra tensor product complete reducibility maximal vector
2012/5/9
We introduce the spinor representations for osp(m|2n). These generalize the spinors for so(m) and the symplectic spinors for sp(2n) and correspond to representations of the supergroup with supergroup ...
Fenchel-Nielsen Coordinates for Maximal Representations
Fenchel-Nielsen Coordinates Maximal Representations
2012/4/23
We develop Fenchel-Nielsen coordinates for representations of surface groups into Sp(2n,R) with maximal Toledo invariant. Analogous to classical Fenchel-Nielsen coordinates on the Teichm\"uller space ...
Irreducible representations of the exceptional cheng-kac superalgebra
Irreducible representations the exceptional cheng-kac superalgebra Representation Theory
2012/4/23
We classify all conformal irreducible modules of finite type over the Cheng Kac superalgebra CK(6).