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math.RT2026
On Lusztig's canonical bases of simple Lie algebras
Meinolf Geck
Let be a simple Lie algebra over~ with root system~. In the simply laced case, Frenkel and Kac found a particularly simple construction of~$\mathfrak…
math.RT2025
A Course on Lie algebras and Chevalley groups
Meinolf Geck
These are expanded notes from graduate courses about Lie algebras and Chevalley groups held at the University of Stuttgart. In the 1950s Chevalley showed how linear groups over arb…
math.RT2024
The character values of Iwahori--Hecke algebras on Coxeter basis elements
Meinolf Geck
These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements. Our notes inclu…