Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Representations of continuous symmetry groups by matrices are fundamental to mathematical models of quantum physics and also to the Langlands program in number theory. Here, we attach a commutative ...

ABSTRACT: We determine the left eigenvector of a stochastic matrix M associated to the eigenvalue 1 in the commutative and the noncommutative cases. In the commutative case, we see that the ...

In the context of spin foam models for quantum gravity, group field theories are a useful tool allowing on the one hand a non-perturbative formulation of the partition function and on the other hand ...

We present a novel finite-matrix formulation of gauge theories on a non-commutative torus. Unlike the previous formulation based on a map from a square matrix to a field on a discretized torus with ...

Given a commutative ring \(R\) with identity, a matrix \(A\in M_{s\times l}(R)\), and \(R\)-linear codes \(C_1, \dots, C_s\) of the same length, this article ...

Abstract: This work investigated the post-quantum digital signature algorithm based on Finite Non-commutative Associative Algebras and also provides a brief analytical overview of certain post-quantum ...

A 3D-printed decuplet crystal, skeleton, and nerves of a big algebra designed by Daniel Bedats. Printed with the Stratasys J750 3D printer at ISTA’s Miba Machine Shop. Symmetry is not just a question ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. In a new study published in PNAS, Tamás Hausel, professor of mathematics at the ...