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Local and global equivalence of projective representations


Local and global equivalence of projective representations

LOCAL AND GLOBAL EQUIVALENCE OF PROJECTIVE REPRESENTATIONS. Henk Hoogland ~, Theoretical physics, University of Nijmegen. I. Introduction. From the classical ...

Local and Global Equivalence of Projective Representations ...

On local and global equivalence of wave functions, superequivalence of group exponents applied in quantum mechanics, Preprint Univ. of Nijmegen. H. Hoogland.

Local and global equivalence of projective representations

The translation projection is not discrete by nature but behaves in a confined manner with identical local and global elements along the curve and the area it ...

Local versus global subtleties of projective representations - arXiv

Abstract:In this short review, we pay attention to some subtleties in the study of projective representations, contrasting local to global ...

[2309.07069] Local versus global subtleties of projective ...

In this short review, we pay attention to some subtleties in the study of projective representations, contrasting local to global properties and their interplay ...

Local-global conjectures in the representation theory of finite groups

of projective representations of automorphism groups of G, see [94, Def. 7.2] ... Rickard, Derived categories and stable equivalence. J. Pure Appl ...

Projective representations and central extensions- classification in ...

Using the above, we can conclude that equivalence classes of projective representations are in one-to-one correspondence with equivalence ...

Representation theory of the Lorentz group - Wikipedia

The Lorentz group is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, ...

Local-to-global extensions of representations of fundamental groups

SGA 1, Exp. V,§7)x of G^K, the category of tame-at-0 finite etale coverings is equivalent (by the functor ...

LOCAL-GLOBAL COMPATIBILITY FOR l = p, I. - Stanford Math

We prove the compatibility of the local and global Langlands cor- respondences at places dividing l for the l-adic Galois representations associ- ated to ...

Local Equivalence of Representations of $${{\rm Diff}^+(S^1)}$$ Diff ...

It is shown here that the positive energy irreducible projective unitary representations ... World Scientific, Singapore (1987). MATH Google ...

Classification of Matrix Product States with a Local (Gauge) Symmetry

... equivalent to a projective representation of the form (g, h) 7→ Dl γ-1 (g) ... Verstraete, Gauging quantum states: from global to local symmetries in many-body ...

Galois representation - Wikipedia

The study of Galois modules for extensions of local or global fields and their group cohomology is an important tool in number theory.

Reduction theorems for some global-local conjectures

The following are equivalent: (i) P0 is a projective representation associated with (G,N,θ). (ii) There exist a matrix M ...

Chapter 3: Introduction to Projective Representations - ScienceDirect

The study of projective representations is equivalent to the study of modules over twisted group algebras. These algebras contain all the information of the ...

Projective Representation - The Physics Travel Guide

These representations that we miss are not representations in the usual sense, but so-called projective representations. These can be used in a ...

a rigid irregular connection on the projective line

An interesting open problem is to find it. Due to the compatibility of the local and global Langlands conjectures, these ℓ-adic representations should be ...

Invariant subspaces and projective representations

equivalent to an ordinary representation U given by ... Unfortunately (4.3) cannot be used to define a local projective representation Uω, or, equivalently, a ...

Classification of gapped symmetric phases in one- dimensional spin ...

The symmetric local unitary equivalence ... We regard u0(g) and u(g) that differ only by a pre-factor as equivalent projective representations and ...

A Frobenius-Schur Extension for Real Projective Representation

Some of these mathematical objects can be complicated to understand globally, but computations can be simplified by considering them locally, i.e. considering ...