Reductive groups, the loop Grassmannian, and the Springer resolution

In particular I have choosen to keep the definition of g(A) the Kac-Moody Lie algebra associated to a generalised Cartan matrix A as the quotient of the Lie algebra e g(A) with

It follows from Lemma 3.4 and Proposition 3.24 in [2] that in the geometric completion of a group with locally finite twin root datum contraction groups of topo- logically

In the case of some Kac-Moody groups with Fuchsian buildings, it can be proved that the associated topological groups cannot be closed subgroups of any simple non- Archimedean

Eventually, as the examples below show, there is no rule in general on what comes first, the building or the group: spherical (resp. Euclidean) buildings are used to better

But there does not exist any nontrivial periodic mapping class in a genus-0 surface whose boundary components are fixed, according to Corollary A.9, and the order of periodic

This article is part of a series the main purpose of which is to construct a bijec- tion between enhanced Langlands parameters for G(F) and a certain collection of

Assume that k is a field and that ¯ A is a positively graded k-algebra. We say that A ¯ is Koszul if each simple graded module which is pure of weight 0 has a linear

For N = 5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoï cell complexes attached to the modular groups SL N ( Z ) and GL N ( Z