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Lie Groups, Lie Algebras, and Their Representations (Hardcover, 1st ed. 1974. 2nd printing 1984)
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Lie Groups, Lie Algebras, and Their Representations (Hardcover, 1st ed. 1974. 2nd printing 1984)
Series: Graduate Texts in Mathematics, 102
Expected to ship within 12 - 17 working days
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This book has grown out of a set of lecture notes I had prepared
for a course on Lie groups in 1966. When I lectured again on the
subject in 1972, I revised the notes substantially. It is the
revised version that is now appearing in book form. The theory of
Lie groups plays a fundamental role in many areas of mathematics.
There are a number of books on the subject currently available
-most notably those of Chevalley, Jacobson, and Bourbaki-which
present various aspects of the theory in great depth. However, 1
feei there is a need for a single book in English which develops
both the algebraic and analytic aspects of the theory and which
goes into the representation theory of semi simple Lie groups and
Lie algebras in detail. This book is an attempt to fiii this need.
It is my hope that this book will introduce the aspiring graduate
student as well as the nonspecialist mathematician to the
fundamental themes of the subject. I have made no attempt to
discuss infinite-dimensional representations. This is a very active
field, and a proper treatment of it would require another volume
(if not more) of this size. However, the reader who wants to take
up this theory will find that this book prepares him reasonably
well for that task."
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