4 papers
Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations
M. Larouche, F. W. Lemire, J. Patera
In the paper we present a new, uniform and comprehensive description of centralizers of the maximal regular subgroups in compact simple Lie groups of all types and ranks. The centr…
Branching rules for Weyl group orbits of simple Lie algebras B(n), C(n) and D(n)
M. Larouche, J. Patera
The orbits of Weyl groups W(B(n)), W(C(n)) and W(D(n)) of the simple Lie algebras B(n), C(n) and D(n) are reduced to the union of the orbits of Weyl groups of the maximal reductive…
Branching rules for the Weyl group orbits of the Lie algebra A(n)
M. Larouche, M. Nesterenko, J. Patera
The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transfor…
The rings of n-dimensional polytopes
L. Hakova, M. Larouche, J. Patera
Points of an orbit of a finite Coxeter group G, generated by n reflections starting from a single seed point, are considered as vertices of a polytope (G-polytope) centered at the…