Results 61 to 70 of about 112,333 (192)
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Commutative semigroup amalgams [PDF]
In the terminology of J. R. Isbell [5], an element d of a semigroup S is dominated by a subsemigroup U of S if, for an arbitrary semigroup X and arbitrary homomorphisms α β, from S into X, α(u) = β(u) for every u in U implies α(d) = β(d). The set of elements of S dominated by U is a subsemigroup of S containing U and is called the dominion of U. It was
openaire +1 more source
Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations
Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley +1 more source
Commutative Semigroups Which Are Semigroup Amalgamation Bases
A semigroup amalgam \([\{T_k\}_{i\in I};S]\) is an indexed family of semigroups \(T_i\) containing a semigroup \(S\) such that \(T_i\cap T_j=S\) for all distinct \(i,j\in I\). A semigroup \(S\) is called a semigroup amalgamation base (simply, amalgamation base) if any semigroup amalgam \([\{T_i\}_{i\in I};S]\) is embedded into a semigroup. A semigroup \
openaire +2 more sources
Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley +1 more source
On the isomorphism problem for monoids of product‐one sequences
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
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Pseudosimple commutative semigroups
As a simple corollary to the main result of [4] we describe the structure of commutative semigroups which are isomorphic to their nontrivial homomorphic images.
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Density functions for epsilon multiplicity and families of ideals
Abstract A density function for an algebraic invariant is a measurable function on R$\mathbb {R}$ which measures the invariant on an R$\mathbb {R}$‐scale. This function carries a lot more information related to the invariant without seeking extra data.
Suprajo Das +2 more
wiley +1 more source
In the theory of Banach algebras, we use the Schauder fixed-point theorem to obtain some results that concern the existence property for mild solutions of fractional Cauchy problems that involve the Lie bracket operator, the almost sectorial operator ...
Faten H. Damag +2 more
doaj +1 more source
From the conformal anomaly to the Virasoro algebra
Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source

