Results 171 to 180 of about 150,415 (331)

Equality of skew Schur functions in noncommuting variables

Bulletin of the London Mathematical Society, EarlyView.
Abstract The question of classifying when two skew Schur functions are equal is a substantial open problem, which remains unsolved for over a century. In 2022, Aliniaeifard, Li, and van Willigenburg introduced skew Schur functions in noncommuting variables, s(δ,D)$s_{(\delta,\mathcal {D})}$, where D$\mathcal {D}$ is a connected skew diagram with n$n ...
Emma Yu Jin, Stephanie van Willigenburg
wiley   +1 more source

The commuting algebra

Journal of Pure and Applied Algebra
Let $KQ$ be a path algebra, where $Q$ is a finite quiver and $K$ is a field. We study $KQ/C$ where $C$ is the two-sided ideal in $KQ$ generated by all differences of parallel paths in $Q$. We show that $KQ/C$ is always finite dimensional and its global dimension is finite.
Edward L. Green, Sibylle Schroll
openaire   +2 more sources

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

Non-Commutative Abelian Higgs model [PDF]

arXiv, 2004
We investigate the Non-Commutative Abelian Higgs model. We argue that it is possible to introduce a consistent renormalization method by imposing the Non-commutative BRST invariance of the theory and by introducing the Non-Commutative Quasi-Classical Action Principle.
arxiv  

On the commutators of a given group [PDF]

, 1899
G. A. Miller
openalex   +1 more source

On the isomorphism problem for monoids of product‐one sequences

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley   +1 more source

Lying-Over Theorem on Left Commutative Rngs [PDF]

arXiv, 2005
We introduce the notion of a graded integral element, prove the counterpart of the lying-over theorem on commutative algebra in the context of left commutative rngs, and use the Hu-Liu product to select a class of noncommutative rings.
arxiv  

Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley   +1 more source

The commuting distribution [PDF]

, 2004
In this paper we analyse the commuting distribution from a job search perspective. We have examined under which conditions the commuting distribution is unimodal which is one of the stylised facts of commuting. It appears that a necessary condition is that space is two-dimensional. Furthermore, one of the following ingredients is sufficient: on-the-job
openaire   +4 more sources

Some commutation principles for optimization problems over transformation groups and semi-FTvN systems [PDF]

arXiv
We introduce the concepts of commutativity relative to a transformation group and strong commutativity in the setting of a semi-FTvN system and show their appearance as optimality conditions in certain optimization problems. In the setting of a semi-FTvN system (in particular, in an FTvN system), we show that strong commutativity implies commutativity ...
arxiv