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Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory;

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Classical Invariant Theory

There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival;

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Classical Invariant Theory

There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival;

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The Classical and Quantum 6''j''-symbols. (MN-43)

Addressing physicists and mathematicians alike, this book discusses the finite dimensional representation theory of sl(2), both classical;

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Modern Spherical Functions

theory, invariant differential operators, and invariant integral operators play an important role in the exposition. The author treats compact;

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The Geometric Hopf Invariant and Surgery Theory

) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a;

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The Geometric Hopf Invariant and Surgery Theory

results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a;

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Multiplicative Invariant Theory

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent;

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Modular Invariant Theory

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the;

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Modular Invariant Theory

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the;

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Invariant Markov Processes Under Lie Group Actions

The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on;

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Stability Domains

, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant;

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The Invariant Theory of Matrices

This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a;

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Polynomial One-cocycles for Knots and Closed Braids

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known;

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Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration

This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set;

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Invariant Descriptive Set Theory

of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and;

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Invariant Descriptive Set Theory

of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and;

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Computational Invariant Theory

This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given;

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Rasch Models for Solving Measurement Problems

theory represents a paradigm shift in measurement theory away from classical test theory and creates a framework for scaling that can yield;

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Transport Theory: Invariant Imbedding, and Integral Equations

This book includes seminal papers on technical subjects-transport theory, invariant imbedding, and integral equations-presented as;

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Lectures on Invariant Theory

The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It;

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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

) and models that exhibit some common nonlinear invariant features. It begins with classical as well as more recent examples of solutions on;

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Invariant Algebras And Geometric Reasoning

form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their;

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Transport Theory: Invariant Imbedding, and Integral Equations

This book includes seminal papers on technical subjects-transport theory, invariant imbedding, and integral equations-presented as;

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Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This;

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Action-minimizing Methods in Hamiltonian Dynamics (MN-50)

balance between stable and unstable motions in classical mechanics. His novel approach--known as Aubry-Mather theory--singles out the existence;

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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain;

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