Paley-Wiener Theorems for a $p$-Adic Spherical Variety, Pascale Harinck, Patrick Delorme, Yiannis Sakellaridis

Автор: Eric Jespers, ?Ѓngel del R?­o
Название: Structure Theorems of Unit Groups
ISBN: 3110411490 ISBN-13(EAN): 9783110411492
Издательство: Walter de Gruyter
Цена: 37130.00 T
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Описание: This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.

Автор: J. Tits
Название: Buildings of Spherical Type and Finite BN-Pairs
ISBN: 3540067574 ISBN-13(EAN): 9783540067573
Издательство: Springer
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Цена: 37220.00 T
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Описание: These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >; and irreducible, spherical type, other than and H ("of spherical type" means "with finite Weyl 4 group", about the excluded types H, cf. the addenda on p. 274). Roughly speaking, those buildings all turn out to be associated to simple algebraic or classical groups (cf. 6.;, 6. 1;, 8. 4.;, 8. 22, 9. 1, 10. 2). An easy application provides the enumeration of all finite groups with BN-pairs of irreducible type and rank >;, up to normal subgroups contained in B (cf. 11. 7). (B) Determination of all isomorphisms between buildings of rank > 2 and spherical type associated to algebraic or classical simple groups and, in parti- cular, description of the full automorphism groups of such buildings (cf. 5. 8, 5. 9, 5. 10, 6. 6, 6. 1;, 8. 6, 9.;, 10. 4). Except for the appendices, the notes are rather strictly oriented - ward these goals.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 0387949496 ISBN-13(EAN): 9780387949499
Издательство: Springer
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Цена: 144410.00 T
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Описание: Offers a fresh and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions. This work uses elementary concepts to present the spherical harmonics in a theory of invariants of the orthogonal group. It is particularly important for the complexification of the Funk-Hecke.

Автор: Gilkey, Peter B.
Название: Geometry of spherical space form groups, the
ISBN: 9813220783 ISBN-13(EAN): 9789813220782
Издательство: World Scientific Publishing
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Цена: 179520.00 T
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Описание:

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group.

This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved.

Автор: Bien Frederic V.
Название: D-Modules and Spherical Representations. (MN-39):
ISBN: 0691608326 ISBN-13(EAN): 9780691608327
Издательство: Wiley
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Цена: 25350.00 T
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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: Godsil
Название: Erd?s–Ko–Rado Theorems: Algebraic Approaches
ISBN: 1107128447 ISBN-13(EAN): 9781107128446
Издательство: Cambridge Academ
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Цена: 74970.00 T
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Описание: The Erdos-Ko-Rado Theorem is a fundamental result in combinatorics. Aimed at graduate students and researchers, this comprehensive text shows how tools from algebraic graph theory can be applied to prove the EKR Theorem and its generalizations. Readers can test their understanding at every step with the end-of-chapter exercises.

Автор: Claus M?ller
Название: Analysis of Spherical Symmetries in Euclidean Spaces
ISBN: 1461268273 ISBN-13(EAN): 9781461268277
Издательство: Springer
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Цена: 46570.00 T
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Описание: This self-contained book offers a new and direct approach to the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of arbitrary dimensions.

Автор: Byrne Oliver
Название: A Short Practical Treatise on Spherical Trigonometry
ISBN: 0341668389 ISBN-13(EAN): 9780341668381
Издательство: Неизвестно
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Цена: 17400.00 T
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Автор: Whittlesey, Marshall A.
Название: Spherical geometry and its applications
ISBN: 0367196905 ISBN-13(EAN): 9780367196905
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: The author introduces spherical geometry and it practical applications in a mathematically rigorous form. Readers will see how the axiom system for plane geometry can be modified in certain ways to produce a completely different geometric world.

Автор: Matthew J. Emerton
Название: Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups
ISBN: 0821875620 ISBN-13(EAN): 9780821875629
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Provides the foundations for the locally analytic representation theory that is required in three of the author`s other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors.

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
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Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.

Автор: Taylor Alexis
Название: Theorems and Applied Principles in Linear Algebra
ISBN: 1632384426 ISBN-13(EAN): 9781632384423
Издательство: Неизвестно
Цена: 134110.00 T
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