This book proceeds beyond the representation theory of compact Lie groups (which is the basis of many texts) and offers a carefully chosen range of material designed to give readers the bigger picture. It explores compact Lie groups through a number of proofs and culminates in a "topics" section that takes the Frobenius-Schur duality between the representation theory of the symmetric group and the unitary groups as unifying them.
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152 primary booksGraduate Texts in Mathematics is a 152-book series with 152 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, and 166 others.