An algebraic theory of dualities is developed based on the notion of bond algebras. It deals
with classical and quantum dualities in a unified fashion explaining the precise connection …

Over the last 45 years, Boolean theorem has been generalized and extended in several
different directions and its applications have reached into almost every area of modern …

This second edition is a corrected and extended version of the first. It is a textbook for
students, as well as a reference book for the working mathematician, on cohomological …

Let C be a nonempty class of finite groups this will always mean that C contains all the
isomorphic images of the groups in C. Define a pro—C group G as an inverse limit G=\lim i …

This is the first book to be dedicated entirely to profinite groups, an area of algebra with
important links to number theory and other areas of mathematics. It provides a …

In this appendix we shall record background material on abelian groups. We begin by fixing
standard notation and by listing elementary examples. Basically we stay in the domain of …

This book provides an introduction to the theory of quantum groups with emphasis on their
duality and on the setting of operator algebras. Part I of the text presents the basic theory of …

With its origins in the theories of continuous distributions of dislocations and
ofmetalplasticity, inhomogeneitytheoryisarichandvibrant? eldofresearch. The recognition of …

Locally compact groups play an important role in many areas of mathematics as well as in
physics. The class of locally compact groups admits a strong structure theory, which allows …

to the English Translation This is a concise guide to basic sections of modern functional
analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory …