Codimensions of root valuation strata. (English) Zbl 1185.11038
The set of integral regular semisimple elements in \(\mathfrak{g((\varepsilon))}\) can be partitioned into strata, called root valuation strata, and the same is true of the adjoint quotient of \(\mathfrak{g((\varepsilon))}\). The main result of this paper is a formula for the codimension of these root valuation strata in the adjoint quotient.
Reviewer: Osman Bizim (Bursa)
MSC:
11F85 | \(p\)-adic theory, local fields |
20G25 | Linear algebraic groups over local fields and their integers |
22E67 | Loop groups and related constructions, group-theoretic treatment |