Representing the fruits of the author's many years of research and teaching in this field, this volume covers such topics as: algebras and lie groups; elliptic hyperbolic, pseudoelliptic, and pseudohyperbolic geometries; and geometries of exceptional lie groups.
This book addresses Lie groups, Lie algebras, and representation theory. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of t…
In this paper we introduce and study the concept of a finite length (topological) representation of a solvable type I simply connected Lie group [italic]G. In order to arrive at a satisfactory theory, it is necessary to choose very carefully the irreducible representations that …
All the irreducible unitary representations are found, in an explicit way, for the maximal parabolic subgroups in the various classical series of real and complex Lie groups. In each case, the nilradical is similar to the Heisenberg group, and its representations come out of the…
The Erlangen program expresses a fundamental point of view on the use of groups and transformation groups in mathematics and physics. The present volume is the first modern comprehensive book on that program and its impact in contemporary mathematics and physics. Klein spelled o…
by Wasserman, Arthur, Lee, Chung-Nim
fromMemoirs of the American Mathematical Society
The authors continue the work of M.F. Atiyah, D.O. Tall, and V.P. Snaith, with the purpose of classifying real representations of a compact Lie group G under stable J-equivalence. The authors end with a section of computations, conjectures and counterexamples.
The objects under study are triples (M, J, [capital Greek]Phi) where M is a smooth manifold, J is a stable almost complex structure on M, and [capital Greek]Phi : G x M [rightwards arrow] M is an action of the compact Lie group G on M preserving the stable almost complex structu…
