Overgroups of Root Groups in Classical Groups, Michael Aschbacher
Автор: Aravinda Название: Geometry, Topology, and Dynamics in Negative Curvature ISBN: 110752900X ISBN-13(EAN): 9781107529007 Издательство: Cambridge Academ Рейтинг: Цена: 76030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject.
Автор: Augustin Banyaga Название: The Structure of Classical Diffeomorphism Groups ISBN: 0792344758 ISBN-13(EAN): 9780792344759 Издательство: Springer Рейтинг: Цена: 88500.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduces and explains the main techniques and ideas in the study of the structure of diffeomorphism groups. This book offers proof of Thurston`s theorem on the simplicity of some diffeomorphism groups. It outlines the Mather-Thurston theory relating foliations with diffeomorphism groups.
Автор: Gaetan Chenevier, David A. Renard Название: Level One Algebraic Cusp Forms of Classical Groups of Small Rank ISBN: 147041094X ISBN-13(EAN): 9781470410940 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 81310.00 T Наличие на складе: Невозможна поставка. Описание: The authors determine the number of level $1$, polarized, algebraic regular, cuspidal automorphic representations of $\mathrm{GL}_n$ over $\mathbb Q$ of any given infinitesimal character, for essentially all $n \leq 8$.
Автор: Burness Название: Classical Groups, Derangements and Primes ISBN: 1107629446 ISBN-13(EAN): 9781107629448 Издательство: Cambridge Academ Рейтинг: Цена: 61240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book provides an accessible graduate-level introduction to the finite classical groups and gives the first unified account of conjugacy and geometry of elements of prime order. The authors also provide a detailed discussion of derangements, making this book an essential resource for all researchers interested in permutation groups.
Автор: Alexander J. Hahn; J. Dieudonne; O.Timothy O`Meara Название: The Classical Groups and K-Theory ISBN: 3540177582 ISBN-13(EAN): 9783540177586 Издательство: Springer Рейтинг: Цена: 139710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Gives a comprehensive account of the basic algebraic properties of the classical groups over rings. This book also includes a revised and expanded version of Dieudonne`s classical theory over division rings. It analyses congruence subgroups, normal subgroups and quotient groups, and investigates connections with linear and hermitian K-theory.
This unique book's subject is meanders (connected, oriented, non-self-intersecting planar curves intersecting the horizontal line transversely) in the context of dynamical systems. By interpreting the transverse intersection points as vertices and the arches arising from these curves as directed edges, meanders are introduced from the graphtheoretical perspective. Supplementing the rigorous results, mathematical methods, constructions, and examples of meanders with a large number of insightful figures, issues such as connectivity and the number of connected components of meanders are studied in detail with the aid of collapse and multiple collapse, forks, and chambers. Moreover, the author introduces a large class of Morse meanders by utilizing the right and left one-shift maps, and presents connections to Sturm global attractors, seaweed and Frobenius Lie algebras, and the classical Yang-Baxter equation.
Contents
Seaweed Meanders
Meanders
Morse Meanders and Sturm Global Attractors
Right and Left One-Shifts
Connection Graphs of Type I, II, III and IV
Meanders and the Temperley-Lieb Algebra
Representations of Seaweed Lie Algebras
CYBE and Seaweed Meanders
Автор: Mikhail Ershov, Andrei Jaikin-Zapirain, Martin Kassabov Название: Property ($T$) for Groups Graded by Root Systems ISBN: 1470426048 ISBN-13(EAN): 9781470426040 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: Introduces and studies the class of groups graded by root systems. The authors prove that if $\Phi$ is an irreducible classical root system of rank $\geq 2$ and $G$ is a group graded by $\Phi$, then under certain natural conditions on the grading, the union of the root subgroups is a Kazhdan subset of $G$.
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