Homogeneous Groups: Hardy Inequalities (Volume 1) (Hardcover) (ISBN-13: 9781639873074)

Homogeneous groups are a part of the theories of Lie groups, algebraic groups and topological groups. A homogeneous space for a group G is a non-empty manifold or topological space X on which G acts transitively. The elements of G are known as the symmetries of X. When the group G in question is the automorphism group of the space X, a special case arises. An isometry group, a diffeomorphism group or a homeomorphism group can be called an automorphism group. In this case, X is homogeneous if naturally X looks locally identical at each point, either in the sense of isometry, diffeomorphism or homeomorphism. This book outlines the processes and applications of homogenous groups in detail. It presents this complex subject in the most comprehensible and easy to understand language. This textbook will serve as a valuable source of reference for graduate and post graduate students.

Author: Hart Scott
ISBN-10: 1639873074
ISBN-13: 9781639873074
Publisher: Murphy & Moore Publishing
Language: English
Published: 03/08/2022
Pages: 278
Format: Hardcover
Weight: 1.20lbs
Size: 9.00h x 6.00w x 0.69d