Results 61 to 70 of about 4,283 (134)
On representations of dialgebras and conformal algebras
In this note, we observe a relation between dialgebras (in particular, Leibniz algebras) and conformal algebras. The purpose is to show how the methods of conformal algebras help solving problems on dialgebras, and, conversely, how the ideas of ...
Kolesnikov, Pavel
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The Quantum Gromov-Hausdorff Propinquity [PDF]
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric spaces, which extends the Gromov-Hausdorff distance to noncommutative geometry and strengthens Rieffel's quantum Gromov-Hausdorff distance and Rieffel's ...
Latremoliere, Frederic
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On the ultraviolet behaviour of quantum fields over noncommutative manifolds
By exploiting the relation between Fredholm modules and the Segal-Shale-Stinespring version of canonical quantization, and taking as starting point the first-quantized fields described by Connes' axioms for noncommutative spin geometries, a Hamiltonian ...
Cipriani F. +5 more
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The Algebraic and Geometric Classification of Noncommutative Jordan Algebras
arXiv admin note: text overlap with arXiv:2406 ...
Abdelwahab, Hani +2 more
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$\kappa$-Minkowski star product in any dimension from symplectic realization
We derive an explicit expression for the star product reproducing the $\kappa$-Minkowski Lie algebra in any dimension $n$. The result is obtained by suitably reducing the Wick-Voros star product defined on $\mathbb{C}^{d}_\theta$ with $n=d+1$. It is thus
Pachol, Anna, Vitale, Patrizia
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The Phase Space Model of Nonrelativistic Quantum Mechanics. [PDF]
Tosiek J, Przanowski M.
europepmc +1 more source
Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Jackson CS, Caves CM.
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Dense subalgebras in noncommutative Jordan topological algebras
Wilansky conjectured in [12] that normed dense Q-algebras are full subalgebras of Banach algebras. Beddaa and Oudadess proved in [2] that Wilansky’s conjecture was true. They showed that k-normed Q-algebras are full subalgebras of k-Banach algebras for each k∈(0,1]. Moreover, J. Pérez, L. Rico and A.
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Categorical Torelli theorems: results and open problems. [PDF]
Pertusi L, Stellari P.
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Structure and representations of noncommutative C*-Jordan algebras
We show that a unital n.c. (noncommutative) JB*-algebra has a faithful family of factor-representations of type I and determine the structure of n.c. JB*-factors: A n.c. JB*-factor is a commutative Jordan algebra, or flexible quadratic, or a quasi CC*-algebra.
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