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ANALYSIS ON q-DEFORMED QUANTUM SPACES - MaRDI portal

ANALYSIS ON q-DEFORMED QUANTUM SPACES (Q3426929)

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Language	Label	Description	Also known as
English	ANALYSIS ON q-DEFORMED QUANTUM SPACES	scientific article

Statements

scholarly article

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ANALYSIS ON q-DEFORMED QUANTUM SPACES (English)

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Hartmut Wachter

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International Journal of Modern Physics A

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publication date

14 March 2007

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full work available at URL

https://arxiv.org/abs/math-ph/0604028

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zbMATH Keywords

quantum spaces

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\(q\)-deformation

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noncommutative geometry

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MaRDI profile type

MaRDI publication profile

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Über die Topologie der Gruppen-Mannigfaltigkeiten und ihre Verallgemeinerungen

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Compact matrix pseudogroups

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Matric bialgebras and quantum groups

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Quantum deformation of Lorentz group

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A q-deformed Lorentz algebra

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Examples of braided groups and braided matrices

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\(q\)-deformed Poincaré algebra

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Braided momentum in the <i>q</i>-Poincaré group

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q-Deformed Phase Space and its Lattice Structure

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Finite quantum field theory in noncommutative geometry

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ON q-REGULARIZATION

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Braided quantum field theory

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Free \(q\)-deformed relativistic wave equations by representation theory

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Operator representations on quantum spaces

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\(q\)-integration on quantum spaces

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\(q\)-exponentials on quantum spaces

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Free braided differential calculus, braided binomial theorem, and the braided exponential map

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Reality in the differential calculus on \(q\)-Euclidean spaces

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<b>*</b>-structures on braided spaces

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Quasi-\(*\) structure on \(q\)-Poincaré algebras

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Deformation theory and quantization. I: Deformations of symplectic structures

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Quantum and braided linear algebra

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\(q\)-Lorentz group and braided coaddition on \(q\)-Minkowski space

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THE <font>SO</font><sub>q</sub>(N, <font>R</font>)-SYMMETRIC HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE ${\bf R}_q^N$ AND ITS HILBERT SPACE STRUCTURE

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Algebraic <i>q</i>-integration and Fourier theory on quantum and braided spaces

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Integration on quantum Euclidean space and sphere

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New quantum Poincaré algebra and \(\kappa\)-deformed field theory

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New \(q\)-Minkowski space-time and \(q\)-Maxwell equations hierarchy from \(q\)-conformal invariance

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Quantum Poincaré group without dilatation and twisted classical algebra

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The quantum structure of spacetime of the Planck scale and quantum fields

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On a Lorentz-invariant interpretation of noncommutative space-time and its implications on noncommutative QFT

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Construction of \(\theta\)-Poincaré algebras and their invariants on \(\mathcal M_{\theta}\)

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Identifiers

zbMATH Open document ID

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10.1142/S0217751X07034155

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Mathematics Subject Classification ID

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zbMATH DE Number

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math-ph/0604028

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Sitelinks

Mathematics(1 entry)

mardi Publication:3426929

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