Results 71 to 80 of about 20,221 (160)
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
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Noncommutative Symmetric Functions Iv: Quantum Linear Groups and Hecke Algebras at q = 0 [PDF]
Journal of Algebraic Combinatorics, 1997 Nous montrons comment la théorie des fonctions symétriques non commutatives permet de rendre compte combinatoirement des représentations irréductibles des groupes quantiques de type A et de l'alèbre de Hecke de même type à q = 0.
Krob, Daniel, Thibon, Jean-Yves
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Noncommutative irreducible characters of the symmetric group and noncommutative Schur functions [PDF]
Journal of Combinatorics, 2013 10 pages. Final version to appear in Journal of Combinatorics. The combinatorics of Young composition tableaux is discussed further in "An introduction to quasisymmetric Schur functions - Hopf algebras, quasisymmetric functions, and Young composition tableaux" K. Luoto, S. Mykytiuk and S. van Willigenburg, Springer (2013)
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NONCOMMUTATIVE SYMMETRIC FUNCTIONS V: A DEGENERATE VERSION OF Uq(glN) [PDF]
International Journal of Algebra and Computation, 1999 We interpret quasi-symmetric functions and noncommutative symmetric functions as characters of a degenerate quantum group obtained by putting q=0 in a variant of Uq(glN).
Krob, Daniel, Thibon, Jean-Yves
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On Endomorphism Universality of Sparse Graph Classes
Journal of Graph Theory, Volume 110, Issue 2, Page 223-244, October 2025.ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
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Differential operator specializations of noncommutative symmetric functions
Advances in Mathematics, 2007 Latex, 33 pages.
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Noncommutative Vieta Theorem and Symmetric Functions
, 1996 A version of the classical Vieta theorem for free noncommuting variables is given.
Gelfand, Israel, Retakh, Vladimir
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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source