Results 21 to 30 of about 277 (47)

Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n) [PDF]

open access: yes, 2015
The characteristic identity formalism discussed in our recent articles is further utilized to derive matrix elements of type 2 unitary irreducible $gl(m|n)$ modules. In particular, we give matrix element formulae for all gl(m|n) generators, including the
Gould, Mark D.   +2 more
core   +2 more sources

Normal Forms for Symplectic Matrices [PDF]

open access: yes, 2014
We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in $\{-1,0,1 ...
Gutt, Jean
core   +2 more sources

Lipschitz property for systems of linear mappings and bilinear forms

open access: yes, 2019
Let G be a graph with undirected and directed edges. Its representation is given by assigning a vector space to each vertex, a bilinear form on the corresponding vector spaces to each directed edge, and a linear map to each directed edge.
Alazemi, Abdullah   +3 more
core   +1 more source

Connections on central bimodules

open access: yes, 1995
We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative
Cartan   +18 more
core   +3 more sources

Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics

open access: yes, 2019
We show for a certain class of operators $A$ and holomorphic functions $f$ that the functional calculus $A\mapsto f(A)$ is holomorphic. Using this result we are able to prove that fractional Laplacians $(1+\Delta^g)^p$ depend real analytically on the ...
Bauer, Martin   +3 more
core   +1 more source

Supersymmetric Distributions, Hilbert Spaces of Supersymmetric Functions and Quantum Fields

open access: yes, 2006
The recently investigated Hilbert-Krein and other positivity structures of the superspace are considered in the framework of superdistributions. These tools are applied to problems raised by the rigorous supersymmetric quantum field theory.Comment: 24 ...
Buchbinder J I   +16 more
core   +2 more sources

Renormalization and quantum field theory

open access: yes, 2010
The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a ...
Abe   +9 more
core   +3 more sources

The Fuzzy Supersphere

open access: yes, 1998
We introduce the fuzzy supersphere as sequence of finite-dimensional, noncommutative $Z_{2}$-graded algebras tending in a suitable limit to a dense subalgebra of the $Z_{2}$-graded algebra of ${\cal H}^{\infty}$-functions on the $(2| 2)$-dimensional ...
Balachandran   +56 more
core   +5 more sources

Rings That Are Morita Equivalent to Their Opposites

open access: yes, 2015
We consider the following problem: Under what assumptions do one or more of the following are equivalent for a ring $R$: (A) $R$ is Morita equivalent to a ring with involution, (B) $R$ is Morita equivalent to a ring with an anti-automorphism, (C) $R$ is ...
First, Uriya A.
core   +1 more source

On Conformal Infinity and Compactifications of the Minkowski Space

open access: yes, 2010
Using the standard Cayley transform and elementary tools it is reiterated that the conformal compactification of the Minkowski space involves not only the "cone at infinity" but also the 2-sphere that is at the base of this cone.
Arkadiusz Jadczyk   +18 more
core   +1 more source

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