Modular Invariant Theory by Hea Eddy Campbell
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers--an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.-
Several Complex Variables
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Partial Differential Equations III
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Linear and Boundary Integral Equations
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Commutative Harmonic Analysis
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Hard Ball Systems and the Lorentz Gas
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Algebra VI
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Algebra IX
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Algebra I
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Lie Groups and Lie Algebras I
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Dynamical Systems I
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Representation Theory and Noncommutative Harmonic Analysis II
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Homogeneous Spaces and Equivariant Embeddings
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Standard Monomial Theory
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Partial Differential Equations VIII
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Fundamentals of Geophysical Hydrodynamics
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Algebra II
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Analysis II
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Analysis I
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Several Complex Variables IV
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Computational Invariant Theory
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Commutative Harmonic Analysis IV
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Probability Theory III
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Algebraic Theory of Locally Nilpotent Derivations
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Number Theory III
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Algebra IV
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Algebra VII
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Geometry IV
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Geometry III
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Control Theory and Optimization I
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Algebraic Geometry I
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Representations of Finite-Dimensional Algebras
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Probability on Discrete Structures
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Geometry VI
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Algebraic Geometry IV
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Analysis III
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Dynamical Systems VIII
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Cyclic Homology in Non-Commutative Geometry
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Dynamics Beyond Uniform Hyperbolicity
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Partial Differential Equations IX
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Topology I
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Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
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Dynamical Systems X
From the reviews:
“Modular Invariant Theory is a fitting entry into the ‘Encyclopaedia of mathematical Sciences’ series: it deals with important living mathematics in a way suited to researchers both at the rookie and more advanced levels” (Michael Berg, The Mathematical Association of America, March, 2011)
“Provide the necessary background in commutative algebra, algebraic geometry, monomial orderings, and SAGBI bases and give many examples. The book should be accessible to second or third year graduate students and will bring any reader up to date on an active area of research.” (Frank D. Grosshans, Mathematical Reviews, Issue 2012 b)
“The book is a good source for examples and inspirations in modular invariant theory. … it is well suited for researchers who aim to get a feeling for recent problems in modular invariant theory and related problems. It can also be used as a companion book for a graduate course in invariant theory of finite groups with a view towards the differences to the modular case.” (Peter Schenzel, Zentralblatt MATH, Vol. 1216, 2011)
| SKU | Unavailable |
| ISBN 13 | 9783642174032 |
| ISBN 10 | 3642174035 |
| Title | Modular Invariant Theory |
| Author | Hea Eddy Campbell |
| Series | Encyclopaedia Of Mathematical Sciences |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer |
| Year published | 2011-01-14 |
| Number of pages | 234 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |