Case for support Unitary forms of Kac–Moody algebras and Kac–Moody groups
نویسنده
چکیده
The proposed project is set in pure mathematics within the areas of infinite-dimensional Lie theory and geometric group theory. Its goal is to contribute to the structure theory of unitary forms (i.e., centralisers of Chevalley involutions) of Kac–Moody algebras and of Kac–Moody groups of indefinite type. The main emphasis of this project will be on finite-dimensional representations and on ideals and normal subgroups, respectively, of these unitary forms, starting with a finite-dimensional representation of the unitary form of the real split Kac–Moody algebra of type E10 discovered in cosmology.
منابع مشابه
Almost split real forms for hyperbolic Kac-Moody Lie algebras
A Borel-Tits theory was developped for almost split forms of symmetrizable Kac-Moody Lie algebras [J. of Algebra 171, 43-96 (1995)]. In this paper, we look to almost split real forms for symmetrizable hyperbolic KacMoody Lie algebras and we establish a complete list of these forms, in terms of their Satake-Tits index, for the strictly hyperbolic ones and for those which are obtained as (hyperbo...
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