Alexander duals of multipermutohedron ideals

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DC Field	Value	Language
dc.contributor.author	Kumar, Ajay	-
dc.contributor.author	Kumar, Chanchal	-
dc.date.accessioned	2020-12-24T09:41:58Z	-
dc.date.available	2020-12-24T09:41:58Z	-
dc.date.issued	2014	-
dc.identifier.citation	Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 124(1), pp.1-15.	en_US
dc.identifier.other	https://doi.org/10.1007/s12044-014-0164-9	-
dc.identifier.uri	https://link.springer.com/article/10.1007%2Fs12044-014-0164-9	-
dc.identifier.uri	http://hdl.handle.net/123456789/3365	-
dc.description.abstract	An Alexander dual of a multipermutohedron ideal has many combinatorial properties. The standard monomials of an Artinian quotient of such a dual correspond bijectively to some λ-parking functions, and many interesting properties of these Artinian quotients are obtained by Postnikov and Shapiro (Trans. Am. Math. Soc. 356 (2004) 3109–3142). Using the multigraded Hilbert series of an Artinian quotient of an Alexander dual of multipermutohedron ideals, we obtained a simple proof of Steck determinant formula for enumeration of λ-parking functions. A combinatorial formula for all the multigraded Betti numbers of an Alexander dual of multipermutohedron ideals are also obtained.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.subject	Multipermutohedron	en_US
dc.subject	Alexander dual	en_US
dc.subject	Hilbert series	en_US
dc.subject	Parking functions	en_US
dc.title	Alexander duals of multipermutohedron ideals	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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