Songül ESİN, İsmail GÜLOĞLU, Cemal KOÇ

Generalized catalan numbers, sequences and polynomials

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.

Anahtar Kelimeler:

Turk. J. Math., 34, (2010), 441-450. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.34, iss.4.

Generalized catalan numbers, sequences and polynomials

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Turk. J. Math., 34, (2010), 441-450. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.34, iss.4.,

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As mentioned at the end of Section 2, the natural algebra homomorphism π : F [z] = F [x; y]→ F [ξ; η] for which π(xk) = ξkand π(yk) = ηk induces a linear isomorphism between ImandImwith π(pσ(x; y)) = pσ(ξ; η) and the result follows.