Invariants Of Local Rings Under The Action Of Finite Groups Generated By Pseudo Reflections
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Polynomial Invariants of Finite Groups
Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 134 |
Release | : 1993-10-07 |
Genre | : Mathematics |
ISBN | : 9780521458863 |
This is the first book to deal with invariant theory and the representations of finite groups.
On Finite Groups and Homotopy Theory
Author | : Ran Levi |
Publisher | : American Mathematical Soc. |
Total Pages | : 121 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821804014 |
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.
Lie Groups and Lie Algebras
Author | : N. Bourbaki |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2008-09-30 |
Genre | : Mathematics |
ISBN | : 9783540691716 |
From the reviews of the French edition: "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or ‘Tits systems’". --G.B. Seligman in MathReviews.
Reflection Groups and Invariant Theory
Author | : Richard Kane |
Publisher | : Springer Science & Business Media |
Total Pages | : 382 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475735421 |
Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.
Complete Intersections
Author | : S. Greco |
Publisher | : Springer |
Total Pages | : 309 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540390898 |
Invariant Theory of Finite Groups
Author | : Mara D. Neusel |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2010-03-08 |
Genre | : Mathematics |
ISBN | : 0821849816 |
The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters. The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.
Polynomial Invariants of Finite Groups
Author | : Larry Smith |
Publisher | : CRC Press |
Total Pages | : 376 |
Release | : 1995-04-15 |
Genre | : Mathematics |
ISBN | : 1439864470 |
Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Constructio