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Generalized catalan numbers, sequences and polynomials
Author(s) -
Cemal Koç,
İsmaı̇l Ş. Güloğlu,
S.K. Esin
Publication year - 2010
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-0811-25
Subject(s) - mathematics , catalan number , linear subspace , multilinear map , catalan , interpretation (philosophy) , algebra over a field , multilinear algebra , algebraic number , pure mathematics , orthogonal polynomials , discrete mathematics , mathematical analysis , algebra representation , philosophy , division algebra , humanities , computer science , programming language
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

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