Characteristic and Ehrhart Polynomials
dc.contributor.author | Blass, Andreas | en_US |
dc.contributor.author | Sagan, Bruce E. | en_US |
dc.date.accessioned | 2006-09-11T17:35:38Z | |
dc.date.available | 2006-09-11T17:35:38Z | |
dc.date.issued | 1998-03 | en_US |
dc.identifier.citation | Blass, Andreas; Sagan, Bruce E.; (1998). "Characteristic and Ehrhart Polynomials." Journal of Algebraic Combinatorics 7(2): 115-126. <http://hdl.handle.net/2027.42/46284> | en_US |
dc.identifier.issn | 0925-9899 | en_US |
dc.identifier.issn | 1572-9192 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46284 | |
dc.description.abstract | Let A be a subspace arrangement and let χ(A,t) be the characteristic polynomial of its intersection lattice L( A). We show that if the subspaces in A are taken from , where is the type B Weyl arrangement, then χ(A,t) counts a certain set of lattice points. One can use this result to study the partial factorization of χ(A,t) over the integers and the coefficients of its expansion in various bases for the polynomial ring R[t]. Next we prove that the characteristic polynomial of any Weyl hyperplane arrangement can be expressed in terms of an Ehrhart quasi-polynomial for its affine Weyl chamber. Note that our first result deals with all subspace arrangements embedded in while the second deals with all finite Weyl groups but only their hyperplane arrangements. | en_US |
dc.format.extent | 146033 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Springer Science+Business Media | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Computer Science, General | en_US |
dc.subject.other | Group Theory and Generalizations | en_US |
dc.subject.other | Order, Lattices, Ordered Algebraic Structures | en_US |
dc.subject.other | Combinatorics | en_US |
dc.subject.other | Convex and Discrete Geometry | en_US |
dc.subject.other | Weyl Group | en_US |
dc.subject.other | Hyperplane Arrangement | en_US |
dc.subject.other | Subspace Arrangement | en_US |
dc.subject.other | MöBius Function | en_US |
dc.subject.other | Characteristic Polynomial | en_US |
dc.subject.other | Ehrhart Polynomial | en_US |
dc.title | Characteristic and Ehrhart Polynomials | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1003 | en_US |
dc.contributor.affiliationother | Department of Mathematics, Michigan State University, East Lansing, MI, 48824-1027 | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46284/1/10801_2004_Article_150647.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1008646303921 | en_US |
dc.identifier.source | Journal of Algebraic Combinatorics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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