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Table of Contents: “... Algebras and Quantum Logic....”

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Table of Contents: “... Modules -- References -- Moving Frames and Coframes -- References -- The Fibonacci-Deformed Harmonic Oscillator -- About Strictly Increasing Sequences of Positive Numbers -- Quantum Algebra Associated with the Spectrum ? = xn -- The ?-Natural Spectrum...”

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Table of Contents: “...From the Foundations of Quantum Theory to Quantum Technology — an Introduction -- Quantum Information Theory — an Invitation -- Quantum Communication -- Quantum Algorithms: Applicable Algebra and Quantum Physics -- Mixed-State Entanglement and Quantum...”

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Table of Contents: “... Homogeneous spaces, quasi-invariant, and invariant measures -- 4.2 Induced representations and systems of covariance -- 4.3 An extended Schur’s lemma -- 4.4 Harmonic analysis on locally compact abelian groups -- 4.5 Lie groups and Lie algebras: A reminder -- 5...”

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Table of Contents: “... Solvable Models? -- Summational Invariants -- Relative Entropy Estimates in Statistical Mechanics and Field Theory -- Partial *-Algebras: A Retrospective -- Banach Partial *-Algebras and Quantum Models -- Supersymmetry and Quantum Deformations -- New...”

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Table of Contents: “... Representation of Observables by Matrices -- A.4 The Factorization Method -- A.5 Continuous Eigenvalues -- A.6 Parafermion Representations of Lie Algebras....”

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Table of Contents: “...I First Quantization and Path Integrals -- 1 Path Integrals and Point Particles -- 2 Nambu—Goto Strings -- 3 Superstrings -- 4 Conformal Field Theory and Kac-Moody Algebras -- 5 Multiloops and Teichmüller Spaces -- II Second Quantization and the Search...”

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Table of Contents: “... Representations of the Lorentz Groups -- 7 Dirac Spinors -- 8 Clifford and Lie Algebras -- Appendix: Groups and Their Representations -- A.1 The Definition of a Group -- A.1.1 Examples of Groups -- A.1.2 The Axioms Defining a Group -- A.1.3 Elementary Properties...”

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Table of Contents: “... supersymmetric integrable systems -- On some puzzles in N=2 supersymmetric gauge theory -- Alternative formulations of N=2 supesymmetric gauge theory in harmonic superspace -- Lie-algebraic characterization of 2D (super-)integrable models -- Universal hidden...”

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Table of Contents: “...Mathematical Preliminaries -- Conformal Transformations and Conformal Killing Fields -- The Conformal Group -- Central Extensions of Groups -- Central Extensions of Lie Algebras and Bargmann’s Theorem -- The Virasoro Algebra -- First Steps Towards...”

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Table of Contents: “...Redesigning lattice QCD -- High energy collisions and nonperturbative QCD -- Perturbation theory in a nonperturbative QCD background -- Factorization and resummation -- The use of computer algebra in QCD -- The analytical value of the 6th-order electron...”

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Table of Contents: “...Lectures on conformal field theory and kac-moody algebras -- W-algebras and their representations -- Exact S-matrices -- to simple integrable models of quantum field theory -- to the coordinate-space bethe ansatz and to the treatment of bethe ansatz...”

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Table of Contents: “...Lie Algebras -- Lie Superalgebras -- Coalgebras and Z2-Graded Hopf Algebras -- Formal Power Series with Homogeneous Relations -- Z2-Graded Lie-Cartan Pairs -- Real Lie-Hopf Superalgebras -- Universal Differential Envelope -- Quantum Groups -- Categorial...”

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