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Hopf Algebras in Noncommutative Geometry and Physics

aspects of Hopf algebras, and recent advances in the theory of corings and quasi-Hopf algebras. It provides examples and basic properties;

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Quantum Groups and Noncommutative Geometry

in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an;

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Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry

strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so;

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Symplectic, Poisson, and Noncommutative Geometry

mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and;

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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School

and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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Topics in Cyclic Theory

Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses;

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Topics in Cyclic Theory

Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses;

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function;

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Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function;

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Noncommutative Geometry

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the;

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New Directions in Hopf Algebras

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Non-Associative Algebra and Its Applications

, nonassociative generalization of Hopf algebras, the structure of free algebras, derivations of Lie algebras, and the identities of Albert algebra. It;

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Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf;

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Mathematical Sciences Research Institute Publications

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Noncommutative Geometry

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The;

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Noncommutative Geometry And Physics - Proceedings Of The Coe International Workshop

between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors;

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Quasi-Hopf Algebras

This is the first book to be dedicated entirely to Drinfeld's quasi-Hopf algebras. Ideal for graduate students and researchers;

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Algebra - Representation Theory

illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory;

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Modular Theory in Operator Algebras

interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments;

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Hopf Algebras and Their Generalizations from a Category Theoretical Point of View

of Hopf algebras and their generalizations from a category theoretical point of view. The author applies the theory of liftings to Eilenberg-Moore;

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Noncommutative Algebraic Geometry

significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and;

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Tensor Categories and Hopf Algebras

This volume contains the proceedings of the scientific session ``Hopf Algebras and Tensor Categories'', held from July 27-28, 2017, at the;

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Skew PBW Extensions

some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul;

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Rings, Modules and Codes

as Construction A or Reed-Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also;

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Principal Bundles

is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The;

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Rings, Hopf Algebras, and Brauer Groups

Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels;

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