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…
Representation theory of Lie groups
by Adams, Jeffrey, Vogan, David A.
fromIAS/Park City mathematics series
"This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundament…
![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…
Simply connected Reimannian symmetric spaces were classified by E. Cartan. This paper examines an attempt to obtain an analogous classification when the metric has indefinite signature.
It is now well know that the measure algebra [script capital]M([italic capital]G) of a locally compact group can be regarded as a subalgebra of the operator algebra [italic capital]B([italic capital]B([italic capital]L²([italic capital]G))) of the operator algebra [italic capita…
As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. It makes abundant use of examples and more than …