'An introduction to the mathematical and physical aspects of Kac-Moody algebras' :- Pref.
"This is a (post)graduate textbook an Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the actio…
In this memoir we study the local theory for Rankin Selberg convolutions for the degree 2ℓn standard [italic]L-function of generic representations of [italic]SO[subscript]2ℓ+1 ([italic capital]F) x GL[subscript italic]n ([italic capital]G) over a local field [italic capital]F.
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 …
This memoir examines the basic problem of finding vanishing theorems for Harish-Chandra modules. The results of these difficult problems contribute in a meaningful way to the singular unitary representation theory of reductive groups.
This memoir examines the basic problem of finding vanishing theorems for Harish-Chandra modules. The results of these difficult problems contribute in a meaningful way to the singular unitary representation theory of reductive groups.
