A Primer Of Algebraic D Modules PDF Download
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| Author | : S. C. Coutinho |
| Publisher | : Cambridge University Press |
| Total Pages | : 223 |
| Release | : 1995-09-07 |
| Genre | : Mathematics |
| ISBN | : 0521551196 |
Download A Primer of Algebraic D-Modules Book in PDF, ePub and Kindle
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.
| Author | : Armand Borel |
| Publisher | : |
| Total Pages | : 382 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : |
Download Algebraic D-modules Book in PDF, ePub and Kindle
Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications outside of analysis proper, in particular to infinite dimensional representations of semisimple Lie groups, to representations of Weyl groups, and to algebraic geometry.
| Author | : |
| Publisher | : Cambridge University Press |
| Total Pages | : 248 |
| Release | : |
| Genre | : |
| ISBN | : |
Download Algebraic Theory of Differential Equations Book in PDF, ePub and Kindle
| Author | : David Eisenbud |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 335 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662048515 |
Download Computations in Algebraic Geometry with Macaulay 2 Book in PDF, ePub and Kindle
This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.
| Author | : Nguyen Tu CUONG |
| Publisher | : Springer |
| Total Pages | : 258 |
| Release | : 2018-08-02 |
| Genre | : Mathematics |
| ISBN | : 331975565X |
Download Commutative Algebra and its Interactions to Algebraic Geometry Book in PDF, ePub and Kindle
This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.
| Author | : John A. Beachy |
| Publisher | : Cambridge University Press |
| Total Pages | : 252 |
| Release | : 1999-04-22 |
| Genre | : Mathematics |
| ISBN | : 9780521644075 |
Download Introductory Lectures on Rings and Modules Book in PDF, ePub and Kindle
A first-year graduate text or reference for advanced undergraduates on noncommutative aspects of rings and modules.
| Author | : Shahn Majid |
| Publisher | : Cambridge University Press |
| Total Pages | : 183 |
| Release | : 2002-04-04 |
| Genre | : Mathematics |
| ISBN | : 0521010411 |
Download A Quantum Groups Primer Book in PDF, ePub and Kindle
Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
| Author | : Irena Peeva |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 705 |
| Release | : 2013-02-01 |
| Genre | : Mathematics |
| ISBN | : 1461452929 |
Download Commutative Algebra Book in PDF, ePub and Kindle
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
| Author | : Joachim Kock |
| Publisher | : Cambridge University Press |
| Total Pages | : 260 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780521540315 |
Download Frobenius Algebras and 2-D Topological Quantum Field Theories Book in PDF, ePub and Kindle
This 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work.
| Author | : G. R. Krause |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 224 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 0821808591 |
Download Growth of Algebras and Gelfand-Kirillov Dimension Book in PDF, ePub and Kindle
During the two decades that preceded the publication of the first edition of this book, the Gelfand-Kirillov dimension had emerged as a very useful and powerful tool for investigating non-commutative algebras. At that time, the basic ideas and results were scattered throughout various journal articles. The first edition of this book provided a much-needed reliable and coherent single source of information. Since that time, the book has become the standard reference source for researchers. For this edition, the authors incorporated the original text with only minor modifications. Errors have been corrected, items have been rephrased, and more mathematical expressions have been displayed for the purpose of clarity. The newly added Chapter 12 provides broad overviews of the new developments that have surfaced in the last few years, with references to the literature for details. The bibliography has been updated and accordingly, almost double the size of the original one. The faithful revision and contemporary design of this work offers time-honored expertise with modern functionality. A keenly appealing combination. So, whether for the classroom, the well-tended mathematical books collection, or the research desk, this book holds unprecedented relevance.
