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4 papers · 1 filter
Exponents for B-stable ideals
Eric Sommers, Julianna Tymoczko
Let G be a simple algebraic group over the complex numbers containing a Borel subgroup B. Given a B-stable ideal I in the nilradical of the Lie algebra of B, we define natural numb…
Riemann-Roch-Hirzebruch integral formula for characters of reductive Lie groups
Matvei Libine
Let G_R be a real reductive Lie group acting on a manifold M. M.Kashiwara and W.Schmid in [KaSchm] constructed representations of G_R using sheaves and quasi-G_R-equivariant D-modu…
A characterization of Dynkin elements
Paul E. Gunnells, Eric Sommers
We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its N-region.…
A Localization Argument for Characters of Reductive Lie Groups
Matvei Libine
This article provides a geometric bridge between two entirely different character formulas for reductive Lie groups and answers the question posed by W.Schmid in [Sch]. A correspon…