This booklet is predicated on a graduate direction taught on the collage of Paris. The authors target to regard the elemental conception of representations of finite teams of Lie sort, reminiscent of linear, unitary, orthogonal and symplectic teams. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the implications that may be deduced from it. additionally they talk about Deligne–Lusztig induction. this can be the 1st straight forward therapy of this fabric in booklet shape and should be welcomed by way of starting graduate scholars in algebra.
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