Extensions of Tori in Sl ( 2 )

@inproceedings{Adams2001ExtensionsOT,
  title={Extensions of Tori in Sl ( 2 )},
  author={Jeffrey Adams},
  year={2001}
}
Introduction Let ̃ SL(2,F) be the metaplectic two-fold cover of SL(2,F), the special linear group in two variables over a local field F of characteristic 0. The inverse image T̃ of a maximal torus T in ̃ SL(2,F) is an abelian extension of T by ±1. We consider the question of whether this extension is trivial. We exclude the case F = C, which is trivial. More generally suppose A is a subgroup of the circle T containing±1. The inclusion of ±1 in A induces a map on cohomology, and defines an… CONTINUE READING

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