In mathematics, the special linear group SL(2, R) or SL2(R) is the group of 2 × 2 real matrices with determinant one: SL ( 2 , R ) = { ( a b c d ) : a ... Descriptions · Classification of elements · Iwasawa or KAN decomposition
We have a decomposition SL2(R) = KAN: every g ∈ SL2(R) has a unique representation as g = kan where k ∈ K, a ∈ A, and n ∈ N. This formula SL2(R) = KAN is called ...
SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R) ...
We note that SL(2,R) is a subgroup and submanifold of SL(2,C). (viewed as a real Lie group). 2 Fractional linear transformations. The group SL(2,C) acts on C2 ...
This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a ...