G-Complete Reducibility, Geometric Invariant Theory and Spherical Buildings
Book Details
Format
Paperback / Softback
Book Series
Oberwolfach Seminars
ISBN-10
3032088658
ISBN-13
9783032088659
Publisher
Springer Nature Switzerland AG
Imprint
Birkhauser
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 2nd, 2026
Print length
341 Pages
Weight
600 grams
Dimensions
16.80 x 23.90 x 2.30 cms
Product Classification:
Algebraic geometry
Ksh 9,000.00
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The aim of this textbook is to introduce readers at a graduate level to G-complete reducibility and explain some of its many applications across pure mathematics. It is based on the Oberwolfach Seminar of the same name which took place in 2022. The notion of G-complete reducibility for subgroups of a reductive algebraic group is a natural generalisation of the notion of complete reducibility in representation theory. Since its introduction in the 1990s, complete reducibility has been widely studied, both as an important concept in its own right, with applications to the classification and structure of linear algebraic groups, and also as a useful tool with applications in representation theory, geometric invariant theory, the theory of buildings, and number theory.
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