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 , b , c , d ∈ R  and  a d − b c...

R). The Casimir element acts on any irreducible representation as multiplication by some complex scalar μ2. Thus in the case of the Lie algebra sl2,...

\omega )} θ ∈ R / 2 π Z {\displaystyle \theta \in \mathbb {R} /2\pi \mathbb {Z} } (or θ ∈ R / π Z {\displaystyle \theta \in \mathbb {R} /\pi \mathbb {Z}...

reductive Lie groups this has been solved; see representation theory of SL2(R) and representation theory of the Lorentz group for examples. Warner (1972)...

ISBN 978-0-12-117740-9, MR 0882000 Borel, Armand (1997), Automorphic forms on SL2(R), Cambridge Tracts in Mathematics, vol. 130, Cambridge University Press...

the new R bayonet series of lenses. Three model of the cameras were sold by Leitz; the Leicaflex Standard, the Leicaflex SL and the Leicaflex SL2. Late...

4064/fm-13-1-73-116. Laczkovich, Miklós (1999). "Paradoxical sets under SL2(R)". Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 42: 141–145. Satô, Kenzi...

essentially the case where the local field is the real numbers and the group is SL2(R). Whittaker's equation is d 2 w d z 2 + ( − 1 4 + κ z + 1 / 4 − μ 2 z 2...

contractible – see Kuiper's theorem. List of finite simple groups SL2(R) Representation theory of SL2(R) Representations of classical Lie groups Here rings are...

Classification of elements of SL2(R) as elliptic, parabolic, and hyperbolic – and similarly for classification of elements of PSL2(R), the real Möbius transformations...