Results 141 to 150 of about 8,103 (256)
On exotic matrix exponential sums and Bessel–Speh functions
Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
wiley +1 more source
ON SEMISIMPLE LEAVITT PATH ALGEBRAS OVER A COMMUTATIVE UNITAL RING [PDF]
A finite acyclic graph always contains a sink, a vertex that does not emit edges. Any sink at the graph will generate minimal basic ideal of the Leavitt path algebra over a commutative unital ring. Moreover, the Leavitt path algebra on the finite acyclic
Wardati, Khurul
core
Localization and Flatness in Quantale Theory
The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales.
George Georgescu
doaj +1 more source
String topology via the coHochschild complex and local intersections
Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
wiley +1 more source
From points to complexes: A concept of unexpectedness for simplicial complexes
Abstract In 2018, Cook, Harbourne, Migliore, and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of Artinian algebras defined by powers of linear forms to a family of interpolation problems.
Thiago Holleben
wiley +1 more source
Holographic Einstein rings of non-commutative black holes
With the help of AdS/CFT correspondence, we derive the desired response function of QFT on the boundary of the non-commutative black hole. Using the virtual optical system with a convex lens, we obtain the Einstein rings of the black hole from the ...
Xin-Yun Hu +3 more
doaj +1 more source
On some integral properties of dimensions in Isaacs fusion categories
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley +1 more source
Rectification of commutative ring spectra in model categories [PDF]
We construct the stable positive admissible model structure on symmetric spectra with values in an abstract model category. This covers both classical symmetric spectra of simplicial sets, but also motivic P 1-spectra, for example. We use it to show that
Dmitri Pavlov, Jakob Scholbach
core
On the Lang–Trotter conjecture for Siegel modular forms
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
On Commutative SCI-Rings and Commutative SCS-Rings [PDF]
. Let R be a commutative ring. An unital R-module M is said to have property (I) (resp. property (S)) if every injective (resp. surjective) endomorphism of M is an automorphism. The ring R is called commutative SCI-ring (resp. SCS-ring) if every R-module
Touré +3 more
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