The 2009 World Forecasts of Peat and Peat Litter Export Supplies
by Philip M. Parker
Representation Theory of Finite Groups (Universitext)
by Benjamin Steinberg
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are...
This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by...
Group and Semigroup Rings (Notas de Matematica; North-Holland Mathematics Studies) (North-Holland Mathematics Studies)
Whitehead Groups of Finite Groups (London Mathematical Society Lecture Note)
by Robert Oliver
This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and...
Fourier Analysis on Groups (Tracts in Pure & Applied Mathematics) (Wiley Classics Library)
by Walter Rudin
In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make th...
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.
Semigroups, Automata And Languages
The conference was a rare occasion for different schools and perspectives to meet in a single event, bringing together researchers interested in semigroups, automata and languages. The proceedings contain both surveys and research reports, which have been carefully refereed. They should be of value to both mathematicians and computer scientists.
Quantum Scattering Theory for Several Particle Systems (Mathematical Physics and Applied Mathematics, #11)
by L D Faddeev and S.P. Merkuriev
The last decade witnessed an increasing interest of mathematicians in prob lems originated in mathematical physics. As a result of this effort, the scope of traditional mathematical physics changed considerably. New problems es pecially those connected with quantum physics make use of new ideas and methods. Together with classical and functional analysis, methods from dif ferential geometry and Lie algebras, the theory of group representation, and even topology and algebraic geometry became e...
Kirillov's Seminar on Representation Theory (American Mathematical Society Translations)
This book is a collection of selected papers written by students and active participants of the A. A. Kirillov seminar on representation theory held at Moscow University. The papers deal with various aspects of representation theory for Lie algebras and Lie groups, and its relationship to algebraic combinatorics, the theory of quantum groups and geometry. This volume reflects current research interests of the leading representatives of the Russian school of representation theory. Readers will fi...
Geometry and Dynamics of Groups and Spaces (Progress in Mathematics, #265)
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
Pregroups and Bass-serre Theory (Memoirs of the American Mathematical Society)
by Frank Rimlinger
Die mathematischen Formeln . . . Sie spielen nur mit sich selbst, driicken nichts als ihre wunderbare Natur aus, und eben darum sind sie so ausdrucksvoll - eben daruf!1, spiegelt sich in ihnen das seltsame Verhli. ltnisspielder Dinge. Die Grundbegriffe der Linearen Algebra, wie man sie zur Vorbereitung einer Vor- lesung tiber Algebra braucht, lassen sich auf einem Dutzend Seiten vollstandig darstellen. SoIche Kiirze wird vielleicht gerade Algebraikern yom Fach besonders einleuchten. Aber auf der...
Unitary Representation Theory for Solvable Lie Groups (Memoirs of the American Mathematical Society)
Geometry, Lie Theory and Applications (Abel Symposia, #16)
This book consists of contributions from the participants of the Abel Symposium 2019 held in Ålesund, Norway. It was centered about applications of the ideas of symmetry and invariance, including equivalence and deformation theory of geometric structures, classification of differential invariants and invariant differential operators, integrability analysis of equations of mathematical physics, progress in parabolic geometry and mathematical aspects of general relativity. The chapters are written...
Quantum Linear Groups and Representations of GLn(Fq) (Memoirs of the American Mathematical Society)
We give a self-contained account of the results originating in the work of James and the second author in the 1980s relating the representation theory of $GL_n(\mathbb{F}_q)$ over fields of characteristic coprime to $q$ to the representation theory of 'quantum $GL_n$' at roots of unity. The new treatment allows us to extend the theory in several directions. First, we prove a precise functorial connection between the operations of tensor product in quantum $GL_n$ and Harish-Chandra induction in f...
Diagram Cohomology and Isovariant Homotopy Theory (Memoirs of the American Mathematical Society)
by Giora Dula and Reinhard Schultz
In algebraic topology, obstruction theory provides a way to study homotopy classes of continuous maps in terms of cohomology groups; a similar theory exists for certain spaces with group actions and maps that are compatible (that is, equivariant) with respect to the group actions. This work provides a corresponding setting for certain spaces with group actions and maps that are compatible in a stronger sense, called isovariant. The basic idea is to establish an equivalence between isovariant hom...