INSPIRE

Higher Kac–Moody algebras and symmetries of holomorphic field theories

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 ...
INSPIRE

Factorization in quantum field theory: An Exercise in Hopf algebras and local singularities

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 ...
Imperial College London

One- and two-dimensional factorization structures on the Hilbert scheme of points of a surface

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 ...
GitHub

Full-Rank Least Squares

Linear algebra functions implemented in Python 3 to solve the full-rank least squares problem by QR factorization with Householder reflections. The full-rank least squares problem is the problem of ...
IEEE

On the boundedness behavior of the spectral factorization in the Wiener algebra for FIR data

Abstract: It is known that the spectral factorization mapping is unbounded in the Wiener algebra, in general. However in applications, the given data are often polynomials. For such finite dimensional ...
IEEE

A fundamental theorem of algebra, spectral factorization, and stability of two-dimensional systems

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 ...
Scientific Research Publishing

Amin, K. (2014) Constructing Single-Error-Correcting Codes Using Factorization of Finite Abelian Groups. International Journal of Algebra, 8, 311-315.

ABSTRACT: We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which ...
Scientific Research Publishing

Wild, S., Curry, J. and Dougherty, A. (2003) Motivating Non-Negative Matrix Factorization. In Eighth SIAM Conference on Applied Linear Algebra Philadelphia, SIAM.

ABSTRACT: Hyperspectral unmixing is a powerful tool for the remote sensing image mining. Nonnegative matrix factorization (NMF) has been adopted to deal with this issue, while the precision of ...