In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation of annihilators in exterior algebras.
KOÇ, CEMAL; GÜLOĞLU, İSMAİL; and ESİN, SONGÜL
"Generalized catalan numbers, sequences and polynomials,"
Turkish Journal of Mathematics: Vol. 34:
4, Article 2.
Available at: https://journals.tubitak.gov.tr/math/vol34/iss4/2