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An Alternative Approach to Lie Groups and Geometric Structures

This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing;

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Lévy Processes in Lie Groups

the underlying algebraic and geometric structures of the Lie groups themselves. The purpose of this work is to provide an introduction to Levy;

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Potential Theory and Geometry on Lie Groups

, homology and the theory of currents. Using these methods, a more direct, but also more sophisticated, approach to the equivalence of the geometric;

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Lectures on Buildings

In mathematics, 'buildings' are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to;

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Guide To Lie Systems With Compatible Geometric Structures, A

of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known;

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Extending Structures

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Smooth Homogeneous Structures in Operator Theory

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures;

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Matrix Groups for Undergraduates

an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups;

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Lectures On Lie Groups

This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations;

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Algebras of Functions on Quantum Groups, Part 1

, and the theory of quantum Weyl groups. This book can serve as a text for an introduction to the theory of quantum groups.;

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A Course in Differential Geometry and Lie Groups

spaces to a manifold. Early and simultaneous treatment of Lie groups and related concepts. A motivated and highly geometric proof of the;

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Tensor Fields on Orbits of Quantum States and Applications

states, one can show that these tensor field constructions allow an alternative approach to the problem of deciding whether a given state in a n;

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Lie's Structural Approach to PDE Systems

techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot;

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Lie's Structural Approach to Pde Systems

techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot;

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Lie Theory and Its Applications in Physics

geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and;

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Supersymmetric Field Theories

Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle;

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Matrix Groups for Undergraduates

Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum;

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Actions and Invariants of Algebraic Groups

Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting;

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Lie Theory and Its Applications in Physics

mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very;

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Geometric Mechanics - Part Ii

See also GEOMETRIC MECHANICS - Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced;

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Groups, Graphs and Trees

approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs;

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Groups Graphs & Trees

approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs;

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Geometric Methods and Applications

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this;

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Kirillov's Seminar on Representation Theory

distant domains of mathematics, and an expository paper by Y. Neretin presents a new geometric approach to boundaries and compactifications;

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Topological Geometry

tangent spaces and of Lie groups and Lie algebras. The calculus is presented as far as possible in basis free form to emphasize its geometrical;

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Geometric Science of Information

geometric mechanics/thermodynamics; computational information geometry; Lie groups: novel statistical and computational frontiers; geometry of time;

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