Vexillary permutations are very important for the study of Schubert polynomials which are involved in several areas of mathematics and physics. In this note we determine the number of n-length vexillary involutions, that is 2143-avoiding involutions, which are equal to their mirror/complement by establishing a bijection with n-length left factors of Motzkin words.
Enumeration of vexillary involutions which are equal to their mirror/complement / E. PERGOLA; O. GUIBERT. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 224:(2000), pp. 281-287. [10.1016/S0012-365X(00)00139-4]
Enumeration of vexillary involutions which are equal to their mirror/complement
PERGOLA, ELISA;
2000
Abstract
Vexillary permutations are very important for the study of Schubert polynomials which are involved in several areas of mathematics and physics. In this note we determine the number of n-length vexillary involutions, that is 2143-avoiding involutions, which are equal to their mirror/complement by establishing a bijection with n-length left factors of Motzkin words.File in questo prodotto:
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