43 citations · 335 across the 30 of their papers we have counts for
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A note on Franel numbers and
José Fernández Núñez, Wifredo García Fuertes, Askold M. Perelomov
We study weight multiplicities in tensor powers of the adjoint representation of and relate them to Franel numbers.
Some results on generating functions for characters and weight multiplicities of the Lie algebra
José Fernández Núñez, Wifredo García Fuertes, Askold M. Perelomov
A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of . Some comments on other rank three algebra…
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold M. Perelomov
A procedure is described that makes use of the generating function of characters to obtain a new generating function giving the multiplicities of each weight in all the represe…
On an approach for computing the generating functions of the characters of simple Lie algebras
J. Fernández Núñez, W. García Fuertes, A. M. Perelomov
We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Suther…
Some new solutions to the Schrodinger equation for the trigonometric E8 Calogero-Sutherland problem
J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov
We provide a list of explicit eigenfunctions of the trigonometric Calogero-Sutherland Hamiltonian associated to the root system of the exceptional Lie algebra E8. The quantum numbe…
Quantum trigonometric Calogero-Sutherland model and irreducible characters for the exceptional algebra E8
J. Fernández Núñez, W. García Fuertes, A. M. Perelomov
We express the Hamiltonian of the quantum trigonometric Calogero-Sutherland model for the Lie algebra E8 and coupling constant k=1 by using the fundamental irreducible characters o…