Mixed Twistor D-modules, Takuro Mochizuki

Автор: Victor P. Snaith
Название: Algebraic K-Groups as Galois Modules
ISBN: 3034894732 ISBN-13(EAN): 9783034894739
Издательство: Springer
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Описание: However, at the "Galois Module Structure" workshop in February 1994, discussions about my invariant (0,1 (L/ K, 3) in the notation of Chapter 5) after my lecture revealed that a number of other higher-dimensional co- homological and motivic invariants of a similar nature were beginning to surface in the work of several authors.

Автор: Birkenmeier Gary F., Park Jae Keol, Rizvi S. Tariq
Название: Extensions of Rings and Modules
ISBN: 0387927158 ISBN-13(EAN): 9780387927152
Издательство: Springer
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Описание: This book explores in detail the "extensions" of rings and modules. It covers mathematical interdiscipllinary applications throughout and features exercises and open problems.

Автор: Richard McGehee; Kenneth R. Meyer
Название: Twist Mappings and Their Applications
ISBN: 1461392594 ISBN-13(EAN): 9781461392590
Издательство: Springer
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Описание: This IMA Volume in Mathematics and its Applications TWIST MAPPINGS AND THEIR APPLICATIONS is based on the proceedings of a workshop which was an integral part of the 1989- 90 IMA program on "Dynamical Systems and their Applications". The workshop brought together many of the leading figures in the modern study of twist maps. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, Ken Meyer, Jiirgen Moser, Clark Robinson, George R. Sell, and Eduard Zehnder for organizing the meeting and, especially, Richard McGehee and Ken Meyer for editing the volume. A vner Friedman Willard Miller, Jr. PREFACE In the 1890 volume of Acta Mathematica, H. Poincare published his prize- winning paper on the stability of orbits of the three body problem. In that paper, he introduced some of the basic ideas about twist maps of the annulus. One hun- dred years later, the study of twist maps is still an active and important area of dynamical systems theory.

Автор: Lang
Название: Twists, Tilings, And Tessellations
ISBN: 1568812329 ISBN-13(EAN): 9781568812328
Издательство: Taylor&Francis
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Описание: This book describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Автор: Bien Frederic V.
Название: D-Modules and Spherical Representations. (MN-39):
ISBN: 0691608326 ISBN-13(EAN): 9780691608327
Издательство: Wiley
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Описание:

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical representations among all irreducible ones, and to compute their multiplicities. This is the goal of this work, achieved fairly completely at least for the discrete series representations of reductive symmetric spaces. The book provides a general introduction to the theory of D-modules on flag varieties, and it describes spherical D-modules in terms of a cohomological formula. Using microlocalization of representations, the author derives a criterion for irreducibility. The relation between multiplicities and singularities is also discussed at length.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Автор: Kashiwara
Название: Regular and Irregular Holonomic D-Modules
ISBN: 1316613453 ISBN-13(EAN): 9781316613450
Издательство: Cambridge Academ
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Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.

Автор: Wood
Название: The Twisted Cubic
ISBN: 1107493722 ISBN-13(EAN): 9781107493728
Издательство: Cambridge Academ
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Описание: Originally published in 1913 as number fourteen in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account regarding the properties of the twisted cubic. A bibliography and appendix section are also included.

Автор: Bailey, Baston
Название: Twistors in mathematics and physics
ISBN: 0521397839 ISBN-13(EAN): 9780521397834
Издательство: Cambridge Academ
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Описание: Twistor theory has become a diverse subject as it has spread from its origins in theoretical physics to applications in pure mathematics. This 1990 collection of review articles covers the considerable progress made in a wide range of applications such as relativity, integrable systems, differential and integral geometry and representation theory.