Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector B......more
This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucia......more
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The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have......more
Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these......more
Based on presentations given at the NordForsk Network Closing Conference "Operator Algebra and Dynamics," held in Gjáarg......more
Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. Quantum theory (n......more
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan P......more
Preface.- 1 Construction of Liouvillian Classes of Functions and Liouville’s Theory.- 2 Solvability of Algebraic Equatio......more
This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representa......more
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rin......more
This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, c......more
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie grou......more
Advances in Group Processes publishes interdisciplinary group related research, this includes work on groups ranging fro......more
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalis......more
Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning se......more
One of the world’s most creative mathematicians finds the meaning of mathematics in the kitchen in this "whimsical...rig......more
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Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge fi......more
A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical sub......more
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Preface.- Introduction.- Notation and conventions.- 1 Preliminaries on Lie groups.- 2 Quantization on compact Lie groups......more
The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient t......more
The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The tar......more
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this vo......more
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. H......more
This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ......more
This is an introduction to the mathematics behind the phrase "quantum Lie algebra". The numerous attempts over the last ......more
This reissued classic text is the acclaimed second edition of Professor Ian Macdonald’s groundbreaking monograph on symm......more
This book features a series of lectures that explores three different fields in which functor homology (short for homolo......more
This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volum......more
The algebro-geometric study of Schubert Varieties has had considerable impact on the important mathematical area of alge......more
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the u......more
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the u......more
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quater......more
Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 198......more
This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Co......more
Mathematical Lie groups are smooth differentiable manifolds and as such can be studied using differential calculus, in c......more
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildi......more
This monograph introduces and explores the notions of a commutator equation and the equationally-defined commutator from......more
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildi......more
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This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise g......more
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This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requ......more
Preface.- U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary.- C.......more
This book offers a systematic introduction to recent achievements and development in research on the structure of finite......more
What is math? And how exactly does it work? In How to Bake Pi, math professor Eugenia Cheng provides and accessible intr......more
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This volume is an outgrowth of the program Modular Representation Theory of Finite and p-Adic Groups held at the Institu......more
This modern translation of Sophus Lie’s and Friedrich Engel’s "Theorie der Transformationsgruppen I" will allow readers ......more
A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isome......more
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This volume consists of twenty peer-reviewed papers from the special session on pseudodifferential operators and the spe......more
This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille ......more
Nolan Wallach s mathematical research is remarkable in both its breadth and depth. His contributions to many fields incl......more
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This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie grou......more
This monograph lays down the foundations of the theory of complex Kleinian groups, a newly born area of mathematics whos......more
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From the Preface by V. S. VARADARAJAN: "These volumes of the Collected Papers of Harish-Chandra are being brought out in......more
From the Preface by V. S. VARADARAJAN: "These volumes of the Collected Papers of Harish-Chandra are being brought out in......more
We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in ......more
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, th......more
Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level. Quantum theory (......more
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have......more
Armand Borel’s mathematical work centered on the theory of Lie groups. Because of the increasingly important place of th......more
Armand Borel’s mathematical work centered on the theory of Lie groups. Because of the increasingly important place of th......more
22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K......more
From the Preface by V. S. VARADARAJAN: "These volumes of the Collected Papers of Harish-Chandra are being brought out in......more
Complement has long been regarded as a pivotal effector arm of the innate im-mune response, eliciting important immunore......more
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This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regulari......more
Preface.- 1 Construction of Liouvillian Classes of Functions and Liouville’s Theory.- 2 Solvability of Algebraic Equatio......more
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as re......more
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its inte......more
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After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich......more
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This is a collection of essays based on lectures that author has given on various occasions on foundation of quantum the......more
This revised and updated English edition offers a highly competent presentation from a leading expert in the field of al......more
This book provides a comprehensive treatment of the two fundamental aspects of a solid that determine its physical prope......more
This book provides a comprehensive and up-to-date introduction to Hodge theory-one of the central and most vibrant areas......more
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan P......more