Algebra

1805 Submissions

[2] viXra:1805.0528 [pdf] submitted on 2018-05-31 00:49:48

The Matricial Clifford Algebras

Authors: Antoine Balan
Comments: 1 page, written in french

We introduce here the notion of matricial Clifford algebras with help of the product of matrices and the tensor product.
Category: Algebra

[1] viXra:1805.0355 [pdf] replaced on 2018-10-04 19:34:38

Boundary Matrices and the Marcus-de Oliveira Determinantal Conjecture

Authors: Ameet Sharma
Comments: 11 Pages.

We present notes on the Marcus-de Oliveira conjecture. The conjecture concerns the region in the complex plane covered by the determinants of the sums of two normal matrices with prescribed eigenvalues. Call this region ∆. This paper focuses on boundary matrices of ∆. We prove 3 theorems regarding these boundary matrices. We propose 2 conjectures related to the Marcus-de Oliveira conjecture.
Category: Algebra