By Mitsuyasu Hashimoto
By Alessandro Figá-Talamanca,Claudio Nebbia
By W. Burnside
By Patrick Delorme,Michèle Vergne
Dedicated to Jacques Carmona, a professional in noncommutative harmonic research, the quantity provides first-class invited/refereed articles by way of first-class mathematicians. subject matters conceal normal Lie conception, reductive Lie teams, harmonic research and the Langlands application, automorphic kinds, and Kontsevich quantization. sturdy textual content for researchers and grad scholars in illustration theory.
By Alexandre Kirillov,V. Soucek,Yu.A. Neretin
This two-part survey presents a brief evaluate of the classical a part of illustration conception, conscientiously exposing the constitution of the speculation with out overwhelming readers with info, and bargains with representations of Virasoro and Kac-Moody algebra. It offers a wealth of modern effects on representations of infinite-dimensional groups.
By Patrice Tauvel,Rupert W. T. Yu
By Robert Oliver
By Jean-Pierre Serre
By Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig
Complex research these days has higher-dimensional analoga: the algebra of advanced numbers is changed then via the non-commutative algebra of actual quaternions or through Clifford algebras. over the past 30 years the so-called quaternionic and Clifford or hypercomplex research effectively constructed to a robust concept with many functions in research, engineering and mathematical physics. This textbook introduces either to classical and higher-dimensional effects in keeping with a uniform thought of holomorphy. ancient feedback, plenty of examples, figures and workouts accompany each one chapter.
By S. Donkin