The 2009 World Forecasts of Stereoscopic Microscopes Export Supplies
by Philip M. Parker
Representation Theories and Algebraic Geometry (NATO Science Series C, #514)
The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has be...
Diagram geometry provides a range of techniques that enable an interaction between group theory and geometry. These techniques allow the mathematician to get information on a multi-dimensional geometric object from some knowledge of its bi-dimensional properties. This book introduces these techniques and provides a survey of the development of the subject of diagram geometry. The first three chapters are descriptive; a number of examples are presented, basic concepts are explained, and the re...
Discontinuous Groups and Riemann Surfaces (AM-79) (Annals of Mathematics Studies, #79)
Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmuller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.
Applications in Rigorous Quantum Field Theory (De Gruyter Studies in Mathematics, #34)
by Fumio Hiroshima and Jozsef Lorinczi
This is the second updated and extended edition of the successful book on Feynman-Kac theory. It offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. In the second volume, these ideas are applied principally to a rigorous treatment of some fundamental models of quantum field theory.
This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its various aspects. In view of the spectacular development in i...
Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences, #168)
by George W. Bluman, Alexei F. Cheviakov, and Stephen Anco
This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Backlund symmetries, contact transformations, adjoint symmetries, Noether's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.
Complex Semisimple Quantum Groups and Representation Theory (Lecture Notes in Mathematics, #2264)
by Christian Voigt and Robert Yuncken
This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general bas...
Oligomorphic Permutation Groups
by School of Mathematical Sciences Peter J Cameron
Stabilisation de la Formule Des Traces Tordue (Progress in Mathematics, #317)
by Colette Moeglin and Jean-Loup Waldspurger
Blocks and Families for Cyclotomic Hecke Algebras (Lecture Notes in Mathematics, #1981)
by Maria Chlouveraki
This book contains a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Cli?ord theory. It can also serve as an introduction to the Hecke algebras of complex re?ection groups. Its aim is the study of the blocks and the determination of the families of characters of the cyclotomic Hecke algebras associated to complex re?ection groups. Iwouldliketothankmythesisadvisor,MichelBrou' e,forhisadvice.These Springer Lecture Notes were, after all, his ide...
Symmetry: Representation Theory and Its Applications (Progress in Mathematics, #257)
Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry a...
The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational functionals on fibered manifolds - relevant geometric structures for variational principles in geomet...
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book i...
Multiplicative Ideal Theory in Commutative Algebra: A Tribute to the Work of Robert Gilmer
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Durch Symmetrie die moderne Physik verstehen
by Jakob Schwichtenberg
Auf der Basis von Symmetrie-UEberlegungen bietet dieses Buch eine einzigartige Herleitung der fundamentalen Theorien der Physik. Dafur werden zunachst alle mathematische Werkzeuge eingefuhrt, die der Leser benoetigt, um mit Symmetrien in der Physik zu arbeiten. Hierbei wird jedoch nur gewoehnliche Schulmathematik vorausgesetzt. Anschliessend werden diese Werkzeuge benutzt, um durch Symmetrie-UEberlegungen die fundamentalen Gleichungen der Quantenmechanik, Quantenfeldtheorie, Elektrodynamik und...
Geometric and Cohomological Methods in Group Theory
by Professor of Topology Martin R Bridson, Peter H Kropholler, and Ian J Leary