NBB bases of some pattern avoiding lattices
Abstract
In this paper we will determine the NBB bases with respect to standard ordering of coatoms (resp.atoms) of 123-132-213-avoiding (resp.321-avoiding) lattices. Using these expression we will calculate the M\"obius numbers of 123-132-213-avoiding lattices and 321-avoiding lattices. These values become some modification of fibonacci polynomials.
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