JOURNAL ARTICLE
Generalized catalan numbers, sequences and polynomials
Cemal Koçİsmaı̇l Ş. GüloğluS.K. Esin
Year: 2010 Journal: TURKISH JOURNAL OF MATHEMATICS Publisher: Scientific and Technological Research Council of Turkey (TUBITAK)
Abstract
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.
Keywords:
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
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Citation History
Topics
Advanced Combinatorial Mathematics
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
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