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The Algebraic and Geometric Classification of Noncommutative Jordan Algebras
Frontiers of MathematicsarXiv 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
, 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
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Some aspects of noncommutative differential geometry [PDF]
, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we ...
Dubois-Violette, Michel
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Categorical Torelli theorems: results and open problems. [PDF]
Rend Circ Mat Palermo, 2023 Pertusi L, Stellari P.
europepmc +1 more source
The Phase Space Model of Nonrelativistic Quantum Mechanics. [PDF]
Entropy (Basel), 2021 Tosiek J, Przanowski M.
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Dense subalgebras in noncommutative Jordan topological algebras
Acta 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.
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, 2013 Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraic structure.
Latremoliere, Frederic
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Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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Structure and representations of noncommutative C*-Jordan algebras
Manuscripta 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.
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Simple Noncommutative Jordan Algebras Satisfying ([x, y], y, y) = 0
Journal of Algebra, 1994 Noncommutative Jordan rings satisfying the identity \(([ x,y], y,y) =0\) (where \((x,y,z)= (xy)z- x(yz)\) and \([ x,y]= xy- yx\) are, respectively, the associator and commutator) were studied by \textit{I. P. Shestakov} [Algebra Logic 10, 252-280 (1973); translation from Algebra Logika 10, 407-448 (1971; Zbl 0259.17001)].
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