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Dealing with subject material of compact teams that's usually brought up in fields like algebra, topology, useful research, and theoretical physics, this publication now in its 3rd revised and augmented variation has been conceived with the twin objective of supplying a textual content booklet for top point graduate classes or seminars, and of serving as a resource publication for study experts who have to practice the constitution and illustration idea of compact teams. After a gradual advent to compact teams and their illustration concept, the booklet provides self-contained classes on linear Lie teams, on compact Lie teams, and on in the neighborhood compact abelian teams. although, the thrust of booklet issues towards the constitution conception of countless dimensional, no longer inevitably commutative compact teams, unfettered through weight regulations or dimensional bounds. within the strategy it makes use of endless dimensional Lie algebras and the exponential functionality of arbitrary compact groups."

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