Linear Groups: The Accent on Infinite Dimensionality explores some
of the main results and ideas in the study of infinite-dimensional
linear groups. The theory of finite dimensional linear groups is
one of the best developed algebraic theories. The array of articles
devoted to this topic is enormous, and there are many monographs
concerned with matrix groups, ranging from old, classical texts to
ones published more recently. However, in the case when the
dimension is infinite (and such cases arise quite often), the
reality is quite different. The situation with the study of
infinite dimensional linear groups is like the situation that has
developed in the theory of groups, in the transition from the study
of finite groups to the study of infinite groups which appeared
about one hundred years ago. It is well known that this transition
was extremely efficient and led to the development of a rich and
central branch of algebra: Infinite group theory. The hope is that
this book can be part of a similar transition in the field of
linear groups. Features This is the first book dedicated to
infinite-dimensional linear groups This is written for experts and
graduate students specializing in algebra and parallel disciplines
This book discusses a very new theory and accumulates many
important and useful results
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