The Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$: Calculation of Characters of Some Representations as Generating Functions of Plane Partitions
G. S. Mutafyan, B. L. Feigin

References
1.	B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, “Quantum toroidal $\mathfrak{gl}_1$ algebra: plane partitions”, Kyoto J. Math. (to appear)
2.	R. Stenli, Perechislitelnaya kombinatorika, Mir, M., 2005
3.	A. I. Molev, “Gelfand–Tsetlin bases for classical Lie algebras”, Handbook of Algebra, v. 4, Elsevier/North-Holland, Amsterdam, 2006, 109–170        ; http://arxiv.org/abs/math/0211289
4.	R. Goodman, N. Wallach, Representations and Invariants of the Classical Groups, Cambridge Univ. Press, Cambridge, 1998