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About: SL2(R)     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Group100031264, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatLieGroupsyago:Abstraction100002137yago:Group100031264 New Facet based on Instances of this Class

In mathematics, the special linear group SL(2, R) or SL2(R) is the group of 2 × 2 real matrices with determinant one: It is a connected non-compact simple real Lie group of dimension 3 with applications in geometry, topology, representation theory, and physics. SL(2, R) acts on the complex upper half-plane by fractional linear transformations. The group action factors through the quotient PSL(2, R) (the 2 × 2 projective special linear group over R). More specifically, PSL(2, R) = SL(2, R) / {±I}, where I denotes the 2 × 2 identity matrix. It contains the modular group PSL(2, Z).