Results 61 to 70 of about 4,283 (134)

On representations of dialgebras and conformal algebras

open access: yes, 2011
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
core   +1 more source

The Quantum Gromov-Hausdorff Propinquity [PDF]

open access: yes, 2013
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
core   +2 more sources

On the ultraviolet behaviour of quantum fields over noncommutative manifolds

open access: yes, 1998
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
core   +1 more source

The Algebraic and Geometric Classification of Noncommutative Jordan Algebras

open access: yesFrontiers of Mathematics
arXiv admin note: text overlap with arXiv:2406 ...
Abdelwahab, Hani   +2 more
openaire   +2 more sources

$\kappa$-Minkowski star product in any dimension from symplectic realization

open access: yes, 2015
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
core   +1 more source

Dense subalgebras in noncommutative Jordan topological algebras

open access: yesActa et Commentationes Universitatis Tartuensis de Mathematica, 1996
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.
openaire   +2 more sources

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Structure and representations of noncommutative C*-Jordan algebras

open access: yesManuscripta Mathematica, 1983
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.
openaire   +1 more source

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