Part of Proceedings, Les Houches School of Physics: Frontiers in Number Theory, Physics and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization: Les Houches, France, March ...

Abstract: This article introduces quaternion non-negative matrix factorization (QNMF), which generalizes the usual non-negative matrix factorization (NMF) to the case of polarized signals.

We introduce a higher dimensional generalization of the affine Kac–Moody algebra using the language of factorization algebras. In particular, on any complex manifold there is a factorization algebra ...

Nakajima and Grojnowski have shown that the cohomology H of Hilb(X) is naturally a representation of the Heisenberg Lie algebra modelled on the cohomology of X, and is isomorphic as a representation ...

Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...

A comprehensive Python library implementing state-of-the-art integer factorization algorithms, from simple trial division to the General Number Field Sieve.

ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL ...