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Showing 1 - 5 of 5 matches in All Departments
This book presents an historical overview of the field--from its
development to the present--at an accessible mathematical level.
This edition features two new chapters--one on factor analysis and
the other on the rise of ANOVA usage in psychological research.
A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. The aim of this book is to cover, for the first time in book form, various aspects of the Haagerup property. New characterizations are brought in, using ergodic theory or operator algebras. Several new examples are given and new approaches to previously known examples are proposed. Connected Lie groups with the Haagerup property are completely characterized. --- The book is extremely interesting, stimulating and well written (...) and it is strongly recommended to graduate students and researchers in the fields of geometry, group theory, harmonic analysis, ergodic theory and operator algebras. The first chapter, by Valette, is a stimulating introduction to the whole book. (Mathematical Reviews) This book constitutes a collective volume due to five authors, featuring important breakthroughs in an intensively studied subject. (Zentralblatt MATH)
A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. The aim of this book is to cover, for the first time in book form, various aspects of the Haagerup property. New characterizations are brought in, using ergodic theory or operator algebras. Several new examples are given, and new approaches to previously known examples are proposed. Connected Lie groups with the Haagerup property are completely characterized.
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups. David Vogan deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support. Nolan Wallach illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement.
Autobiography of a Georgia Cat is the story of a Southern African-American family as it struggles with the illness and death of a granddaughter who is married to a Jewish man. Spiritual and family themes are emphasized. The story is narrated by Black Jack, the remarkable family cat, who also tells of his own life as an indoor-outdoor cat in Marietta, Georgia. Much space is devoted to feline mythology and spirituality which have a distinctly Native-American flavor. The strands of many cultures are woven into the fabric of this story, leaving the reader with a positive message of hope and of the oneness of all things. Animal lovers will never look at their pets the same again after meeting Black Jack, a deeply spiritual cat with a wry sense of humor. He agonizes through the alcoholism of his guardian, Archie, and the increasing decrepitude of Archie's wife, Cora, and her centenarian mother. The constant outpouring of gospel music from Mama's radio adds to the spiritual power of this charming and touching story. has on his mind as he tells his tale, the reader will know that he has had an encounter with a wise, wonderful, and unforgettable feline.
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