Results 21 to 30 of about 6,993 (154)

On the Computation of Clebsch-Gordan Coefficients and the Dilation Effect

, 2005
We investigate the problem of computing tensor product multiplicities for complex semisimple Lie algebras. Even though computing these numbers is #P-hard in general, we show that if the rank of the Lie algebra is assumed fixed, then there is a polynomial
De Loera, Jesús A., McAllister, Tyrrell B.   +1 more
core   +4 more sources

Geometric realizations of the s‐weak order and its lattice quotients

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
wiley   +1 more source

Conformal Hypergraphs: Duality and Implications for the Upper Clique Transversal Problem

Journal of Graph Theory, Volume 109, Issue 4, Page 466-480, August 2025.
ABSTRACT Given a hypergraph ℋ, the dual hypergraph of ℋ is the hypergraph of all minimal transversals of ℋ. The dual hypergraph is always Sperner, that is, no hyperedge contains another. A special case of Sperner hypergraphs are the conformal Sperner hypergraphs, which correspond to the families of maximal cliques of graphs.
Endre Boros, Vladimir Gurvich, Martin Milanič, Yushi Uno   +3 more
wiley   +1 more source

Group field theories generating polyhedral complexes

, 2015
Group field theories are a generalization of matrix models which provide both a second quantized reformulation of loop quantum gravity as well as generating functions for spin foam models.
Thürigen, Johannes
core   +1 more source

Polyhedral combinatorics of bisectors

Advances in Geometry
Abstract For any polyhedral norm, the bisector of two points is a polyhedral complex. We study combinatorial aspects of this complex. We investigate the sensitivity of the presence of labelled maximal cells in the bisector relative to the position of the two points.
Jal, Aryaman, Jochemko, Katharina
openaire   +2 more sources

Selecting the Most Effective Nudge: Evidence From a Large‐Scale Experiment on Immunization

Econometrica, Volume 93, Issue 4, Page 1183-1223, July 2025.
Policymakers often choose a policy bundle that is a combination of different interventions in different dosages. We develop a new technique—treatment variant aggregation (TVA)—to select a policy from a large factorial design. TVA pools together policy variants that are not meaningfully different and prunes those deemed ineffective.
Abhijit Banerjee, Arun G. Chandrasekhar, Suresh Dalpath, Esther Duflo, John Floretta, Matthew O. Jackson, Harini Kannan, Francine Loza, Anirudh Sankar, Anna Schrimpf, Maheshwor Shrestha   +10 more
wiley   +1 more source

Symmetric colorings of polypolyhedra

, 2015
Polypolyhedra (after R. Lang) are compounds of edge-transitive 1-skeleta. There are 54 topologically different polypolyhedra, and each has icosidodecahedral, cuboctahedral, or tetrahedral symmetry, all are realizable as modular origami models with one ...
Belcastro, Sarah-Marie, Hull, Thomas C.
core   +1 more source

On an Erdős similarity problem in the large

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip   +2 more
wiley   +1 more source

A-Tint: A polymake extension for algorithmic tropical intersection theory

, 2012
In this paper we study algorithmic aspects of tropical intersection theory. We analyse how divisors and intersection products on tropical cycles can actually be computed using polyhedral geometry.
Aigner, Allermann, Ardila, Avis, Avis, Barthélemy, Buneman, Cohen, Edelsbrunner, Feichtner, Fulton, Gathmann, Gawrilow, Grünbaum, Havas, Kerber, Khachiyan, Mikhalkin, Motzkin, Rincón, Seymour, Simon Hampe, Speyer, Speyer, Sturmfels, Tiwary, Volodin, Witten, Ziegler   +28 more
core   +2 more sources

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source