Decompositions of Bruhat type for the Kac-Moody groups. (English) Zbl 0874.22020
Bruhat type decompositions are very powerful tools for the study of Kac-Moody groups. Two important versions of the decomposition are due to Bruhat and Birkhoff. The authors construct a new family of Bruhat type decompositions in which classical Bruhat and Birkhoff decompositions appear as special cases. The authors also study the closure patterns of the double cosets involved.
Reviewer: N.Sthanumoorthy (Madras)
MSC:
22E65 | Infinite-dimensional Lie groups and their Lie algebras: general properties |
17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |