Zobrazeno 1 - 10
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pro vyhledávání: '"Waldron, James"'
Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory
Autor:
Fewster, Christopher J., Janssen, Daan W., Loveridge, Leon Deryck, Rejzner, Kasia, Waldron, James
We develop an operational framework, combining relativistic quantum measurement theory with quantum reference frames (QRFs), in which local measurements of a quantum field on a background with symmetries are performed relative to a QRF. This yields a
Externí odkaz:
http://arxiv.org/abs/2403.11973
Autor:
Waldron, James, Loveridge, Leon Deryck
Let $G$ be a finite group, $H \le G$ a subgroup, $R$ a commutative ring, $A$ an $R$-algebra, and $\alpha$ an action of $G$ on $A$ by $R$-algebra automorphisms. Following Baker, we associate to this data the \emph{skew Hecke algebra} $\mathcal{H}_{R}(
Externí odkaz:
http://arxiv.org/abs/2311.09038
We present an operationally motivated treatment of quantum reference frames in the setting that the frame is a covariant positive operator valued measure (POVM) on a finite homogeneous space, generalising the principal homogeneous spaces studied in p
Externí odkaz:
http://arxiv.org/abs/2302.05354
We prove that the bi-invariant Einstein metric on $SU_{2n+1}$ is isolated in the moduli space of Einstein metrics, even though it admits infinitesimal deformations. This gives a non-K\"ahler, non-product example of this phenomenon adding to the famou
Externí odkaz:
http://arxiv.org/abs/2102.07168
Autor:
Waldron, James
Let $k$ be an arbitrary field and $d$ a positive integer. For each degenerate symmetric or antisymmetric bilinear form $M$ on $k^{d}$ we determine the structure of the Lie algebra of matrices that preserve $M$, and of the Lie algebra of matrices that
Externí odkaz:
http://arxiv.org/abs/2009.01681
Autor:
Waldron, James
We apply the Atiyah-Singer index theorem and tensor products of elliptic complexes to the cohomology of transitive Lie algebroids. We prove that the Euler characteristic of a representation of a transitive Lie algebroid $A$ over a compact manifold $M
Externí odkaz:
http://arxiv.org/abs/1908.06861
Using a stability criterion due to Kr\"oncke, we show, providing ${n\neq 2k}$, the K\"ahler--Einstein metric on the Grassmannian $Gr_{k}(\mathbb{C}^{n})$ of complex $k$-planes in an $n$-dimensional complex vector space is dynamically unstable as a fi
Externí odkaz:
http://arxiv.org/abs/1806.01722
Autor:
Waldron, James
Publikováno v:
Pacific J. Math. 301 (2019) 639-666
For a Lie group $G$ and a vector bundle $E$ we study those actions of the Lie group $TG$ on $E$ for which the action map $TG\times E \to E$ is a morphism of vector bundles, and call those \emph{affine actions}. We prove that the category $\mathrm{Vec
Externí odkaz:
http://arxiv.org/abs/1710.04642
Autor:
Ortiz, Cristian, Waldron, James
In this work we introduce the category of multiplicative sections of an $\la$-groupoid. We prove that this category carries natural strict Lie 2-algebra structures, which are Morita invariant. As applications, we study the algebraic structure underly
Externí odkaz:
http://arxiv.org/abs/1703.09791
Autor:
Waldron, James
We develop a theory of Lie algebroids over differentiable stacks that extends the standard theory of Lie algebroids over manifolds. In particular we show that Lie algebroids satisfy descent for submersions, define the category of Lie algebroids over
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.634377