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The Mathematical Legacy of Harish-Chandra
Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, "Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research pa...
The Character Theory of Finite Groups of Lie Type
A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.
Index Medicus
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
Harish-Chandra Homomorphisms for P-adic Groups
This book introduces a systematic new approach to the construction and analysis of semisimple $p$-adic groups. The basic construction presented here provides an analogue in certain cases of the Harish-Chandra homomorphism, which has played an essential role in the theory of semisimple Lie groups. The book begins with an overview of the representation theory of GL$_n$ over finite groups. The author then explicitly establishes isomorphisms between certain convolution algebras of functions on two different groups. Because of the form of the isomorphisms, basic properties of representations are preserved, thus giving a concrete example to the correspondences predicted by the general philosphy of Langlands. The first chapter, suitable as an introduction for graduate students, requires only a basic knowledge of representation theory of finite groups and some familiarity with the general linear group and the symmetric group. The later chapters introduce researchers in the field to a new method for the explicit construction and analysis of representations of $p$-adic groups, a powerful method clearly capable of extensive further development.
The ASSI Monographs
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Automorphic Forms and $L$-functions I
Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.
Hariścandra Kāvya
In Raghavanka's poetic masterpiece The Life of Harishchandra, a powerful sage tests King Harishchandra's commitment to truth. He suffers utter deprivation but refuses to yield. This spirited translation, the first from Kannada into any language, brings one of ancient India's most enduring legends to a global readership.
The Four Ls
In this entertaining and informative memoir, Dan Mayur traces a fascinating life story from his humble beginnings in rural India to his ascent into corporate leadership in America. This is a book about the struggles of a young man in the pursuit of excellence in the face of the vicissitudes of life, with all its glorious unpredictability of setbacks and victories. It is about people and places and influences and experiences. In search of real happiness beyond a high-paying corporate job, he took early retirement to pursue his interests in travel, reading, writing, and charity. He proposes that laughing, learning, and loving are necessary and sufficient for happy living, and he brings out his wealth of lessons for life in his trademark lucid language, creating vivid imagery in the readers mind. He does this with philosophic undertones, using sensitivity, wit, and humor. Written as a road map for a successful and happy life, this book will appeal to a wide audience of teachers, students, travelers, and people with curiosity and interest in life and, above all, to all parents and children.
Lie Groups: Structure, Actions, and Representations
Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V. Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Korányi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. Ørsted
