Abstract:We discuss the calculation of integral cohomology ring ofLG/TandΩG. First we describe the root system and Weyl group ofLG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures ofLG/TandΩGfor affine groupA^2. We introduce combinatorial integers(m,nj)which play a crucial role in our calculations and give some interesting identities among these integers. Last we calculate generators for ideals and rank of each module of graded integral coh… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.