Groups and group theory

This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view.

This is the first book on elliptic quantum groups, i.

This book discusses basic topics in the spectral theory of dynamical systems.

This book provides an understandable review of SU(3) representations, SU(3) Wigner-Racah algebra and the SU(3) ?

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop "e;Geometric and Ergodic Aspects of Group Actions,"e; organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018.

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras.

This book gathers original research papers and survey articles presented at the "e;International Conference on Class Groups of Number Fields and Related Topics,"e; held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017.

This book is a blend of recent developments in theoretical and computational aspects of group theory.

This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory.

The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups.

This book explores the classical and beautiful character theory of finite groups.

This is the second in a series of three volumes dealing with important topics in algebra.

This is the first in a series of three volumes dealing with important topics in algebra.

This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities.

This timely book shines a light on social justice activism within higher education, calling for a conceptual space of faculty activism to share and build on the work of others who came before.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.

The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002).

Nowadays algebra is understood basically as the general theory of algebraic oper- ations and relations.

by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields.

Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.

Simplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism.

In 1991-1993 our three-volume book "e;Representation of Lie Groups and Spe- cial Functions"e; was published.

The last decade witnessed an increasing interest of mathematicians in prob- lems originated in mathematical physics.

In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics.

In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc.

Ordinary differential control thPory (the classical theory) studies input/output re- lations defined by systems of ordinary differential equations (ODE).

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space.

The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "e;Current Research 1 in Operational Quantum Logic"e;.

Computers have stretched the limits of what is possible in mathematics.

This book has developed from a series of lectures which were given by the author in mechanics-mathematics department of the Moscow State University.

X Kochendorffer, L.

Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation.

It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems.

Every Abelian group can be related to an associative ring with an identity element, the ring of all its endomorphisms.

This book, in some sense, began to be written by the first author in 1983, when optional lectures on Abelian groups were held at the Fac- ulty of Mathematics and Computer Science,'Babes-Bolyai' University in Cluj-Napoca, Romania.

This volume contains one invited lecture which was presented by the 1994 Fields Medal- ist Professor E.

This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan- dardization of the mathematics of fuzzy sets established in the "e;Handbook"e;, namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish- ers, 1999).

This volume presents a short guide to the extensive literature concerning semir- ings along with a complete bibliography.

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J.

It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to 20 pages) generalizations to (mostly modular) lattices.

In Chapter 6, we describe the concept of braid equivalence from the topological point of view.

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.

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs.

Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras.

Our prime concern in this book is to discuss some most interesting prosppcts that have occurred recently in conformally invariant quantum field theory in a D-diuwnsional space.