Zobrazeno 1 - 10
of 10
pro vyhledávání: '"McCabe Olsen"'
Autor:
Casey Pinckney, Bennet Goeckner, Margaret M. Bayer, McCabe Olsen, Tyrrell B. McAllister, Julianne Vega, Martha Yip, Su Ji Hong
Publikováno v:
The Electronic Journal of Combinatorics. 28
Given a family of lattice polytopes, two common questions in Ehrhart Theory are determining when a polytope has the integer decomposition property and determining when a polytope is reflexive. While these properties are of independent interest, the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8044042413bb807ae33a12f4bc3d9987
https://doi.org/10.37236/9621
https://doi.org/10.37236/9621
Autor:
Florian Kohl, McCabe Olsen
Publikováno v:
The Electronic Journal of Combinatorics. 27
Given a family of lattice polytopes, a common endeavor in Ehrhart theory is the classification of those polytopes in the family that are Gorenstein, or more generally level. In this article, we consider these questions for ${\boldsymbol s}$-lecture h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f47f8f18beebc313a88f41213527c8cf
https://doi.org/10.37236/8626
https://doi.org/10.37236/8626
A convex body is unconditional if it is symmetric with respect to reflections in all coordinate hyperplanes. In this paper, we investigate unconditional lattice polytopes with respect to geometric, combinatorial, and algebraic properties. In particul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5de786d21d6c9fc6e2bbe7a057637e87
https://aaltodoc.aalto.fi/handle/123456789/46283
https://aaltodoc.aalto.fi/handle/123456789/46283
Autor:
Benjamin Braun, McCabe Olsen
Publikováno v:
European Journal of Combinatorics. 69:237-254
We consider quotients of the unit cube semigroup algebra by particular Z r ≀ S n -invariant ideals. Using Grobner basis methods, we show that the resulting graded quotient algebra has a basis where each element is indexed by colored permutations (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91039947c5120e0fc9f45506c3da3bd3
https://doi.org/10.1016/j.ejc.2017.11.005
https://doi.org/10.1016/j.ejc.2017.11.005
Autor:
McCabe Olsen, Eric Katz
Using the notion of Mahonian statistic on acyclic posets, we introduce a $q$-analogue of the $h$-polynomial of a simple generalized permutohedron. We focus primarily on the case of nestohedra and on explicit computations for many interesting examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c70d56b973e2e8860450415a0632426
http://arxiv.org/abs/1906.05848
http://arxiv.org/abs/1906.05848
Autor:
McCabe Olsen
Lecture hall partitions are a fundamental combinatorial structure which have been studied extensively over the past two decades. These objects have produced new results, as well as reinterpretations and generalizations of classicial results, which ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12a7507539581b17cbd7c13c627330a9
http://arxiv.org/abs/1808.06131
http://arxiv.org/abs/1808.06131
Autor:
McCabe Olsen
In the interest of finding the minimum additive generating set for the set of $\boldsymbol{s}$-lecture hall partitions, we compute the Hilbert bases for the $\boldsymbol{s}$-lecture hall cones in certain cases. In particular, we compute the Hilbert b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea66082a243568a591dc0b6ce73d9493
http://arxiv.org/abs/1703.02006
http://arxiv.org/abs/1703.02006
Autor:
Julie Beier, McCabe Olsen
Publikováno v:
Involve 7, no. 5 (2014), 647-655
Lie algebras and quantum groups are not usually studied by an undergraduate. However, in the study of these structures, there are interesting questions that are easily accessible to an upper-level undergraduate. Here we look at the expansion of a nes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dc06e04e50f7618ff83f99b9c337d31
https://doi.org/10.2140/involve.2014.7.647
https://doi.org/10.2140/involve.2014.7.647
Though much is known about ${\bf s}$-lecture hall polytopes, there are still many unanswered questions. In this paper, we show that ${\bf s}$-lecture hall polytopes satisfy the integer decomposition property (IDP) in the case of monotonic ${\bf s}$-s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cba551e6c9611faa37ec0cb197555445
http://arxiv.org/abs/1608.03934
http://arxiv.org/abs/1608.03934
A lattice polytope $\mathcal{P}$ is called reflexive if its dual $\mathcal{P}^\vee$ is a lattice polytope. The property that $\mathcal{P}$ is unimodularly equivalent to $\mathcal{P}^\vee$ does not hold in general, and in fact there are few examples o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bee9e32700f3be19b73a5b799cc2cd69
http://arxiv.org/abs/1607.04871
http://arxiv.org/abs/1607.04871