43 citations · 178 across the 13 of their papers we have counts for
7 papers · 1 filter
Four families of Weyl group orbit functions of B_3 and C_3
Lenka Háková, Jiří Hrivnák, Jiří Patera
The properties of the four families of special functions of three real variables, called here C-, S-, S^s- and S^l-functions, are studied. The S^s- and S^l-functions are considered…
Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2
Francis W. Lemire, Jiri Patera, Marzena Szajewska
The characters of irreducible finite dimensional representations of compact simple Lie group G are invariant with respect to the action of the Weyl group W(G) of G. The defining pr…
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…
Two dimensional symmetric and antisymmetric generalizations of sine functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described. It is shown that…
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
Jiří Hrivnák, Jiří Patera
Properties of the four families of recently introduced special functions of two real variables, denoted here by , and , are studied. The superscripts and …
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…