Photo from archive.org
We compute the Hodge and de Rham cohomology of the classifying space BG (defined as etale cohomology on the algebraic stack BG) for reductive groups G over many fields, including… Click to show full abstract
We compute the Hodge and de Rham cohomology of the classifying space BG (defined as etale cohomology on the algebraic stack BG) for reductive groups G over many fields, including fields of small characteristic. These calculations have a direct relation with representation theory, yielding new results there. The calculations are closely analogous to, but not always the same as, the cohomology of classifying spaces in topology.
Keywords:
classifying stacks;
theory;
topology;
hodge theory;
theory classifying
Journal Title: Duke Mathematical Journal
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Duke Mathematical Journal
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!