Enumerating indices of Schubert varieties defined by inclusions

Authors:
Michael H. Albert;Robert Brignall
Affiliations:
Department of Computer Science, University of Otago, New Zealand;Department of Mathematics and Statistics, The Open University, UK
Venue:
Journal of Combinatorial Theory Series A
Year:
2014

Citing 2
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Abstract

By extending the notion of grid classes to include infinite grids, we establish a structural characterisation of the simple permutations in Av(4231,35142,42513,351624), a pattern class which has three different connections with algebraic geometry, including the specification of indices of Schubert varieties defined by inclusions. This characterisation leads to the enumeration of the class.