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,...

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...

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 expansions of Hauptmoduln. In other words, if Gg is the subgroup of SL2(R) which fixes Tg, then the quotient of the upper half of the complex plane...

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...

\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}...

Table of Lie groups for a list General linear group, special linear group SL2(R) SL2(C) Unitary group, special unitary group SU(2) SU(3) Orthogonal group,...

sitting as lattices inside the (topological) universal covering group SL2(R) → PSL2(R). Further, the modular group has a trivial center, and thus the modular...