arXiv subjects

Steven V Sam

Publications and source records attributed to Steven V Sam.

92 records · Page 6Linked to original sources

arXiv2009

Computing inclusions of Schur modules

We describe a software package for constructing minimal free resolutions of GL_n(Q)-equivariant graded modules M over Q[x_1, ..., x_n] such that for all i, the ith syzygy module of M is generated in a single degree. We do so by describing some algorithms for manipulating polynomial representations of the general linear group GL_n(Q) following ideas of Olver and Eisenbud-Floystad-Weyman.

math.AC↗

arXiv2008

A bijective proof for a theorem of Ehrhart

We give a new proof for a theorem of Ehrhart regarding the quasi-polynomiality of the function that counts the number of integer points in the integral dilates of a rational polytope. The proof involves a geometric bijection, inclusion-exclusion, and recurrence relations, and we also prove Ehrhart reciprocity using these methods.

math.CO↗