Abstract involutions of algebraic groups and of Kac-Moody groups

作者：Gramlich Ralf^*; Horn Max; Muehlherr Bernhard

来源：Journal of Group Theory, 2011, 14(2): 213-249.

DOI：10.1515/JGT.2010.033

Based on the second author's thesis [33], in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD systems, and twisted involutions of Coxeter groups. Notably we simultaneously generalize the double coset decompositions established in [32] and [49] for algebraic groups and in [39] for certain Kac-Moody groups, we analyze the filtration studied in [24] in the context of arbitrary involutions, and we answer a structural question on the combinatorics of involutions of twin buildings raised in [7].

• 出版日期2011-4