Download E-books Representing Finite Groups: A Semisimple Introduction PDF

This graduate textbook offers the fundamentals of illustration conception for finite teams from the viewpoint of semisimple algebras and modules over them. The presentation interweaves insights from particular examples with improvement of normal and strong instruments in keeping with the thought of semisimplicity. The stylish principles of commutant duality are brought, besides an advent to representations of unitary groups. The textual content progresses systematically and the presentation is pleasant and alluring. valuable options are revisited and explored from a number of viewpoints. workouts on the finish of the bankruptcy aid strengthen the material.

Representing Finite teams: A Semisimple Introduction could function a textbook for graduate and a few complex undergraduate classes in arithmetic. necessities contain acquaintance with ordinary workforce idea and a few familiarity with earrings and modules. a last bankruptcy provides a self-contained account of notions and leads to algebra which are used. Researchers in arithmetic and mathematical physics also will locate this ebook useful.

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