17 citations · 17 across the 1 of their papers we have counts for
3 papers
math.RT2010★ 17 cited
Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials
Maryna Nesterenko, Jiri Patera, Marzena Szajewska +1
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select t…
math-ph2009
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…
math.CA2009
Orbit functions of SU(n) and Chebyshev polynomials
M. Nesterenko, J. Patera, A. Tereszkiewicz
Orbit functions of a simple Lie group/Lie algebra L consist of exponential functions summed up over the Weyl group of L. They are labeled by the highest weights of irreducible fini…