Results 131 to 140 of about 32,076 (212)
Non-Commutative Geometry [PDF]
For purely mathematical reasons it is necessary to consider spaces which cannot be represented as point set sand where the coordinates describing the space do not commute.In other words,spaces which are described by algebras of coordinates which arenot commutative.If you conside rsuch spaces,then it is necessary to rethink most of the notions of ...
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A noncommutative combinatorial protein logic circuit controls cell orientation in nanoenvironments. [PDF]
Chen J +4 more
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Measure Theory in Noncommutative Spaces
The integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties.
Steven Lord, Fedor Sukochev
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Affine noncommutative geometry
This is an introduction to noncommutative geometry, from an affine viewpoint, that is, by using coordinates. The spaces $\mathbb R^N,\mathbb C^N$ have no free analogues in the operator algebra sense, but the corresponding unit spheres $S^{N-1}_\mathbb R,S^{N-1}_\mathbb C$ do have free analogues $S^{N-1}_{\mathbb R,+},S^{N-1}_{\mathbb C,+}$.
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Minimal non-abelian nodal braiding in ideal metamaterials. [PDF]
Qiu H +5 more
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Wirth M, Zhang H.
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Categorical Torelli theorems: results and open problems. [PDF]
Pertusi L, Stellari P.
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Lp Unit Spheres and the α-Geometries: Questions and Perspectives. [PDF]
Gibilisco P.
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Vernooij M, Wirth M.
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Geodesic motion in Euclidean Schwarzschild geometry. [PDF]
Battista E, Esposito G.
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