Classical Lie Algebras at Infinity by Ivan Penkov
Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory.-
The Higher Infinite
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Fredholm Theory in Topological Vector Spaces
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Combinatorial Set Theory of C*-Algebras
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Representation Theory of Finite Group Extensions
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Geometric Approximation Theory
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Determinants, Grobner Bases and Cohomology
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Topics in Global Real Analytic Geometry
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Mathematical Methods for Elastic Plates
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Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
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The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations
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The Riordan Group and Applications
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Domination in Graphs: Core Concepts
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Real Algebraic Varieties
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Curvature Measures of Singular Sets
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Structure and Regularity of Group Actions on One-Manifolds
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Superconcentration and Related Topics
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Extremal Polynomials and Riemann Surfaces
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Simplicial Partitions with Applications to the Finite Element Method
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Modular Forms
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Microstructured Materials: Inverse Problems
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Projective and Cayley-Klein Geometries
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Monotone Complete C*-algebras and Generic Dynamics
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Logical Foundations of Mathematics and Computational Complexity
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Arithmetic of Quadratic Forms
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Hardy Spaces on the Euclidean Space
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Functional Analytic Techniques for Diffusion Processes
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Harnack's Inequality for Degenerate and Singular Parabolic Equations
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Structure and Geometry of Lie Groups
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Inverse Linear Problems on Hilbert Space and their Krylov Solvability
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Modular Forms: Basics and Beyond
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The Absolute Galois Group of a Semi-Local Field
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Hardy Operators, Function Spaces and Embeddings
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Random Fields and Geometry
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Positive Polynomials
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Classical Fine Potential Theory
“The book is self-contained in an introductory way, it would be better for the reader to know the basics of Lie algebras and their representations… the book is most suitable for advanced graduate students and research mathematicians.” (Chengkang Xu, Mathematical Reviews, October, 2022)
“Classical Lie Algebras at Infinity is a very interesting book by I. Penkov and C. Hoyt. … Plenty of exercises of various levels of difficulty and open problems are given throughout the book. This exposition is an invitation to a wide open area of research, aiming to invoke a complex combination of advanced mathematical ideas.” (Mee Seong Im, zbMATH 1490.17025, 2022)
“The book is designed to not only serve as a reference but also to introduce well-prepared people to the subject and its current areas of inquiry. … it seems fair to say that this book will appeal to a somewhat narrower subset of readers of this column than do many of the books reviewed here. But the people in this subset should find this a useful, in the authors’ words, ‘invitation to a wide open research area’.” (Mark Hunacek, MAA Reviews, August 1, 2022)| SKU | Unavailable |
| ISBN 13 | 9783030896621 |
| ISBN 10 | 3030896625 |
| Title | Classical Lie Algebras at Infinity |
| Author | Ivan Penkov |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2023-01-07 |
| Number of pages | 239 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |