57 citations · 154 across the 47 of their papers we have counts for
57 papers
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{…
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These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements.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…
Roger Carter
Meinolf Geck, Donna M. Testerman
Roger Carter (1934--2022) was a very well known mathematician working in algebra, representation theory and Lie theory. He spent most of his mathematical career in Warwick. Roger w…
Canonical structure constants for simple Lie algebras
Meinolf Geck, Alexander Lang
Let be a finite-dimensional simple Lie algebra over . In the 1950s Chevalley showed that admits particular bases, now called ``Chevalley b…
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…
On the character tables of the finite reductive groups and
Meinolf Geck
We show how the character tables of the groups and can be constructed, where is a power of~. (Partial results are also obtain…