Results 71 to 80 of about 52,965 (200)
Moduli space actions on the Hochschild Co-Chains of a Frobenius algebra I: Cell Operads
This is the first of two papers in which we prove that a cell model of the moduli space of curves with marked points and tangent vectors at the marked points acts on the Hochschild co--chains of a Frobenius algebra. We also prove that a there is dg--PROP
A Frobenius +3 more
core +2 more sources
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
Central Invariants and Higher Indicators for Semisimple Quasi-Hopf Algebras
In this paper, we define the higher Frobenius-Schur (FS-)indicators for finite-dimensional modules $V$ of a semisimple quasi-Hopf algebra $H$ via the categorical counterpart developed in \cite{NS05}.
Ng, Siu-Hung, Schauenburg, Peter
core +1 more source
Let \(G\) be an \(n\)-group and \(R\) an associative ring with unit element. Let \(RG\) be the \(n\)-group ring over the \(n\)-group \(G\). The author shows that an \(n\) group ring \(RG\) is a quasi-Frobenius ring, if and only if \(G\) is a finite \(n\)-group and \(R\) is a quasi-Frobenius ring.
openaire +2 more sources
Testing Hypotheses of Covariate Effects on Topics of Discourse
ABSTRACT We introduce an approach to topic modeling with document‐level covariates that remains tractable in the face of large text corpora. This is achieved by de‐emphasizing the role of parameter estimation in an underlying probabilistic model, assuming instead that the data come from a fixed but unknown distribution whose statistical functionals are
Gabriel Phelan, David A. Campbell
wiley +1 more source
Quantum wreath products and Schur–Weyl duality I
In this paper, the authors introduce a new notion called the quantum wreath product, which is the algebra $B \wr _Q \mathcal {H}(d)$ produced from a given algebra B, a positive integer d and a choice $Q=(R,S,\rho ,\sigma )$ of parameters ...
Chun-Ju Lai +2 more
doaj +1 more source
Singular Hochschild cohomology and algebraic string operations
Given a differential graded (dg) symmetric Frobenius algebra $A$ we construct an unbounded complex $\mathcal{D}^{*}(A,A)$, called the Tate-Hochschild complex, which arises as a totalization of a double complex having Hochschild chains as negative columns
Rivera, Manuel, Wang, Zhengfang
core +1 more source
Orthogonality Relation for Frobenius-and Quasi-Frobenius-Algebras [PDF]
The celebrated orthogonality relation for the coefficients of the regular representation of a group was extended first to the modular case by Nesbitt, and then to Frobenius-algebras by the writer; the proof was reproduced in [4]1 together with a second proof.
openaire +1 more source
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
The topological symmetric orbifold
We analyze topological orbifold conformal field theories on the symmetric product of a complex surface M. By exploiting the mathematics literature we show that a canonical quotient of the operator ring has structure constants given by Hurwitz numbers ...
Songyuan Li, Jan Troost
doaj +1 more source

