Lie Groups (Graduate Texts in Mathematics, 225) free ebook download.

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Lie Groups (Graduate Texts in Mathematics, 225) free ebook download

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Author(s):	Daniel Bump

Date:	2024	Format:	epub	Language:	English	ISBN/ASIN:	1493938428
Pages:	564	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	12/23/2023 7:03:33 PM

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1493938428 epub
This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition.
For compact Lie groups, the book covers the PeterWeyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, FrobeniusSchur duality and GL(
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