Browsing by Author "Hoffman, Corneliu"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    On generalizations of Kac-Moody groups
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2010) Blok, Rieuwert J.; Hoffman, Corneliu
    In [7] we define a Curtis-Tits group as a certain generalization of a Kac-Moody group. We distinguish between orientable and non-orientable Curtis-Tits groups and identify all orientable Curtis-Tits groups as Kac-Moody groups associated to twinbuildings. We mention that non-orientable Curtis-Tits groups exist. In the present paper we construct families of orientable and non-orientable Curtis-Tits groups. The resulting groups are quite interesting in their own right. The orientable ones are related to Drinfel’d’ s construction of vector bundles over a non-commutative projective line and to the classical groups over cyclic algebras. The non-orientable ones are related to q-CCR algebras in physics and have symplectic, orthogonal and unitary groups as quotients.