Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new …
This book presents the notes for a course given on the theory of unitary group representations at the University of Chicago in 1955. This new revision represents the small but steady demand for these notes, which have been reviewed, proofs have been clarified, and the term "loca…
This paper gives a classification of the tame [italic]R-orders of finite representation type in terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce to the case of a tame order of global dimension two. Using covering theory methods, the clas…
Lie groups, Lie algebras, and representation theory are the main focus of this text. 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 th…
This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real f…
![Solution of a non-domestic tame classification problem from integral representation theory of finite groups ([capital Greek]Lambda = [capital italic]RC₃, [lowercase Greek]Nu(3) = 4)](https://covers.openlibrary.org/b/isbn/0821825216-M.jpg?default=false)
Suppose [italic capital]R be a complete discrete valuation ring with exponential valuation [lowercase Greek]Nu, and let [italic capital]G be a finite [italic]p-group. In studying the representation type (finite, tame or wild) of the group ring [italic capital]RG, the last open p…
This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on [italic capital]C*-algebras with continuous trace. Expositions of the Mackey-Green-Rieffel machine of induced representations and the theory of Morita equivalent [italic c…
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of t…
