Results 81 to 90 of about 17,658 (187)

Global scale efficiency in data envelopment analysis

International Transactions in Operational Research, Volume 32, Issue 5, Page 2474-2496, September 2025.
Abstract In the realm of assessing scale efficiency (SE), it tends to be computed as a firm‐specific phenomenon rather than something associated with the whole shape of the frontier of the technology under evaluation. This circumstance may lead to inaccuracies in the conclusions drawn regarding the returns to scale (RTS) exhibited across the entire ...
Juan Aparicio, Daniel Santín
wiley   +1 more source

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

Machine Learning Clifford Invariants of ADE Coxeter Elements

Advances in Applied Clifford Algebras
AbstractThere has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric transformation of interest in the context of root systems, reflection groups, Lie groups and Lie algebras: the Coxeter transformations.
Chen, S., Dechant, P. P., He, Y. H., Heyes, E., Hirst, E., Riabchenko, D.   +5 more
openaire   +4 more sources

Clusters, Coxeter-sortable elements and noncrossing partitions [PDF]

Transactions of the American Mathematical Society, 2007
We introduce Coxeter-sortable elements of a Coxeter group  W . W. For finite W , W, we give bijective proofs that Coxeter-sortable elements are equinumerous with clusters and with noncrossing partitions. We characterize Coxeter-sortable elements in terms of their inversion sets and,
openaire   +2 more sources

Combinatorics of fully commutative involutions in classical Coxeter groups

, 2015
An element of a Coxeter group $W$ is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators.
Biagioli, Riccardo, Jouhet, Frédéric, Nadeau, Philippe   +2 more
core   +2 more sources

Thin hyperbolic reflection groups

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2498-2508, August 2025.
Abstract We study a family of Zariski dense finitely generated discrete subgroups of Isom(Hd)$\mathrm{Isom}(\mathbb {H}^d)$, d⩾2$d \geqslant 2$, defined by the following property: any group in this family contains at least one reflection in a hyperplane. As an application, we obtain a general description of all thin hyperbolic reflection groups.
Nikolay Bogachev, Alexander Kolpakov
wiley   +1 more source

The Enumeration of Fully Commutative Elements of Coxeter Groups [PDF]

Journal of Algebraic Combinatorics, 1998
An element \(w\) of a Coxeter group is said to be fully commutative, if any reduced word for \(w\) can be obtained from any other via the interchange of commuting generators. For example, in the symmetric group of degree \(n\), the fully commutative elements are the \(321\)-avoiding permutations.
openaire   +2 more sources

On the growth rate of ideal Coxeter groups in hyperbolic 3-space

, 2015
We study the set G of growth rates of of ideal Coxeter groups in hyperbolic 3-space which consists of real algebraic integers greater than 1. We show that (1) G is unbounded above while it has the minimum, (2) any element of G is a Perron number, and (3)
Komori, Yohei, Yukita, Tomoshige
core   +1 more source

Global bases for Bosonic extensions of quantum unipotent coordinate rings

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract In the paper, we establish the global basis theory for the bosonic extension Â$\widehat{\mathcal {A}}$ associated with an arbitrary symmetrizable generalized Cartan matrix. When Â$\widehat{\mathcal {A}}$ is of simply laced finite type, Â$\widehat{\mathcal {A}}$ is isomorphic to the quantum Grothendieck ring Kq(Cg0)$\mathcal {K}_q(\mathcal ...
Masaki Kashiwara, Myungho Kim, Se‐jin Oh, Euiyong Park   +3 more
wiley   +1 more source

Minimally dominant elements of finite Coxeter groups

, 2021
Recently, Lusztig constructed for each reductive group a partition by unions of sheets of conjugacy classes, which is indexed by a subset of the set of conjugacy classes in the associated Weyl group. Sevostyanov subsequently used certain elements in each of these Weyl group conjugacy classes to construct strictly transverse slices to the conjugacy ...
openaire   +2 more sources