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Entangled states considered as physical representations of classical algorithms
Entangled states physical representations classical algorithms
2010/10/21
There are good reasons to believe that we are classical algorithms run on (effectively) classical machines. However, the fact that a physical state of a system in a universe described by a classical d...
Semigroup representations in holomorphic dynamics
Semigroup representations holomorphic dynamics
2010/12/7
We use semigroup theory to describe the group of automorphisms of some semigroups of interest in holomorphic dynamical systems. We show,with some examples, that representation theory of semigroups is ...
On some properties of local determinantal representations
properties local determinantal representations
2010/12/6
Matrices of locally analytic functions in two variables correspond to the maximal Cohen-Macaulay modules over plane curve singularities and to the local determinantal representations.
Minimal Lagrangian Surfaces in CH2 and Representations of Surface Groups into SU(2,1)
Minimal Lagrangian Surfaces Representations
2010/12/6
The equation ∂2 ∂z∂¯z log(s2) = |Q|2s−4 + s2 (1.1) is satisfied by the conformally flat metric s2|dz|2 of a minimal Lagrangian surface in the complex hyperbolic plane CH2,...
Unitary representations of unimodular Lie groups in Bergman spaces
Unitary representations of unimodular Lie groups Bergman spaces
2010/12/3
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...
Minimal representations of conformal groups and generalized Laguerre functions
Minimal representations conformal groups generalized Laguerre functions
2010/12/10
We give a unified construction of the minimal representation of a finite cover G of the conformal group of a (non necessarily euclidean) Jordan algebra V . This representation is realized on the L2-sp...
Relative homological algebra in categories of representations of infinite quivers
cover envelope torsion free flat representations of a quiver
2010/11/26
In the first part of this paper, we prove the existence of torsion
free covers in the category of representations of quivers, (Q,R-Mod),for a wide class of quivers included in the class of the so-cal...
Higher-Order-Schmidt-Representations and their Relevance for the Basis-Ambiguity
Higher-Order-Schmidt-Representations Relevance eBasis-Ambiguity
2010/10/18
With the help of a useful mathematical tool, the polar decomposition of closed operators, and a simple observation, i.e. the unique relation between tensor-product states and compact operators, we man...
Governed by locality, we explore a connection between unitary braid group representations associated to a unitary R-matrix and to a simple object in a unitary braided fusion category.
Smooth representations of GL_m(D) VI : semisimple types
Smooth representations GL_m(D) VI semisimple types
2010/11/30
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local field. More precise...
Indecomposable representations of the Kronecker quivers
Indecomposable representations Kronecker quivers
2010/12/14
Let k be a field and the n-Kronecker algebra, this is the path algebra of the quiver with 2 vertices, a source and a sink, and n arrows from the source to the sink. It is wellknown
that the dimensi...
On Generalized Weil Representations over Involutive Rings
Weil representation generalized classical groups involutive analogues of classical groups
2010/11/30
We construct via generators and relations, generalized Weil representations for analogues
of classical SL(2, k), k a field, over involutive base rings (A, ∗). This family of groups
covers diff...
Representations of Affine and Toroidal Lie Algebras
Representations of Affine Toroidal Lie Algebras
2010/12/1
We discuss the category I of level zero integrable representations of loop algebras and their generalizations. The category is not semisimple and so one is interested in its homological properties.
Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
Lowest Weight Representations Super Schrodinger One Dimensional Space
2010/11/26
Lowest weight modules, in particular, Verma modules over the N = 1, 2 super Schr¨odinger
algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma
modules is analyzed v...
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
Finite dimensional irreducible representations finite W-algebras associated classical Lie algebras
2010/12/9
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...