102 citations · 315 across the 33 of their papers we have counts for
34 papers
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.
Euler's difference table and decomposition of tensor powers of adjoint representation of Lie algebra
A. M. Perelomov
By using of Euler's difference table, we obtain simple explicit formula for the decomposition of -th tensor power of adjoint representation of Lie algebra at $2 k \le{n+1}…
Few remarks on the mass spectrum of two-dimensional Toda lattice of type
A. M. Perelomov
In this note the simple procedure for obtaining the mass spectrum of two-dimensional Toda lattice of type is given.
Euler's triangle and the decomposition of tensor powers of adjoint representation of Lie algebra
A. M. Perelomov
We consider the relation between Euler's trinomial problem and the problem of decomposition of tensor powers of adjoint representation of Lie algebra. By using this approach,…
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…