Subject (ZB): “...Algebra....”

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Table of Contents: “...Equiangular Lines -- Sporadic SICs and the Exceptional Lie Algebras -- The Hoggar-type SICs.-SICs as Equicoherent Quantum States -- SICs and Bell Inequalities....”

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Table of Contents: “...Introduction -- SU(3) Algebra in Nuclei: Preliminaries -- SU(3) Wigner-Racah Algebra Details -- SU(3) Wigner-Racah Algebra Details II -- SU(3) ⊃ SO(3) Integrity Basis Operators -- SU(3) in Shell Model Descriptions of Nuclei -- SU(3) in Interacting Boson...”

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Subject (ZB): “...Algebra....”

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Table of Contents: “... -- Groups, Lie algebras, symmetries in physics -- 4.1 Basic properties of groups and representations -- 4.2 Lie groups and algebras -- 4.3 The groups SO3; SU2; SU3 -- 4.4 Other direct applications of symmetries to physics -- Answers and Solutions. ....”

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Table of Contents: “... -- Groups, Lie algebras, symmetries in physics -- 4.1 Basic properties of groups and representations -- 4.2 Lie groups and algebras -- 4.3 The groups SO3; SU2; SU3 -- 4.4 Other direct applications of symmetries to physics -- Answers and Solutions. ....”

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Table of Contents: “...Foundation of Quantum Theory -- Group Representation -- Representations of Lie Group and Lie Algebra (Basics) -- Representations of Lie Group and Lie Algebra (Special Case) -- Representations of Lie Group and Lie Algebra (General Case) -- Bosonic System...”

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Subject (ZB): “...Linear algebraic groups....”

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Table of Contents: “...Introduction -- Preliminary -- Flows on ultraproduct von Neumann algebras -- Rohlin flows -- Classification of Rohlin flows -- Applications -- Characterization of Rohlin property -- Concluding remarks and problems -- Appendix -- Bibliography -- Index....”

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Subject (ZB): “...Geometry, Algebraic....”

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Subject (ZB): “...Algebra....”

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Table of Contents: “...pt. 1. General notions -- pt. 2. Finite groups -- pt. 3. Lie groups -- pt. 4. The Poincaré group -- pt. 5. Hopf algebras in physics....”

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Subject (ZB): “...Linear algebraic groups....”

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Table of Contents: “...What is a group? -- What do groups look like? -- Why study groups? -- Algebra at last -- Five families -- Subgroups -- Products and quotients -- The power of homomorphisms -- Sylow theory -- Galois theory -- Answers to selected exercises....”

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Table of Contents: “... -- Khovanov Homology: Torsion and Thickness -- Khovanov Homology for Knots and Links with up to 11 Crossings -- Perturbative Quantum Field Theory and L?-algebras -- A Linking Form Conjecture for 3-manifolds -- Mappings of Non-zero Degree between 3-manifolds: a New...”

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Table of Contents: “... -- 6.1 Central-Field Approximation -- 6.2 Atoms in Crystal Fields -- 6.3 Correlation Diagrams -- 6.4 Electric and Magnetic Material Properties -- 6.5 Tensors in Group Theory -- Summary of Topics for Chapter 6 -- Problems -- 7 Elements of Abstract Algebra...”

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Subject (ZB): “...Rings (Algebra)....”

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Table of Contents: “...Association for Flag Configurations -- Gröbner bases and determinantal ideals -- Bounds for Castelnuovo-Mumford regularity in terms of degrees of defining equations -- The Computer Algebra Package Bergman: Current State -- Monomialization...”

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