50 citations · 143 across the 33 of their papers we have counts for
8 papers · 1 filter
Parabolic subgroup orbits on finite root systems
M. J. Dyer, G. I. Lehrer
Oshima's Lemma describes the orbits of parabolic subgroups of irreducible finite Weyl groups on crystallographic root systems. This note generalises that result to all root systems…
Geometry of certain finite Coxeter group actions
M. J. Dyer, G. I. Lehrer
We determine a fundamental domain for the diagonal action of a finite Coxeter group on , where is the reflection representation. This is used to give a strati…
Cellularity of certain quantum endomorphism algebras
H. H. Andersen, G. I. Lehrer, R. B. Zhang
We exhibit for all positive integers r, an explicit cellular structure for the endomorphism algebra of the r'th tensor power of an integral form of the Weyl module with highest wei…
The Brauer Category and Invariant Theory
G. I. Lehrer, R. B. Zhang
A category of Brauer diagrams, analogous to Turaev's tangle category, is introduced, and a presentation of the category is given; specifically, we prove that seven relations among…
The second fundamental theorem of invariant theory for the orthogonal group
Gustav Lehrer, Ruibin Zhang
Let $V=\C^n$ be endowed with an orthogonal form and $G=\Or(V)$ be the corresponding orthogonal group. Brauer showed in 1937 that there is a surjective homomorphism $ν:B_r(n)\to\End…
Reflection subgroups of finite and affine Weyl groups
M. J. Dyer, G. I. Lehrer
We discuss the classification of reflection subgroups of finite and affine Weyl groups from the point of view of their root systems. A short case free proof is given of the well kn…