THREE-ALGEBRA BFSS MATRIX THEORY

Linear Algebra and Matrix Theory

Matrix Theory over the Complex Quaternion Algebra

We present in this paper some fundamental tools for developing matrix analysis over the complex quaternion algebra. As applications, we consider generalized inverses, eigenvalues and eigenvectors, similarity, determinants of complex quaternion matrices, and so on. AMS Mathematics Subject Classification: 15A06; 15A24; 15A33

Homotopy theory of bundles with fiber matrix algebra

In the present paper we consider a special class of locally trivial bundles with fiber a matrix algebra. On the set of such bundles over a finite CW -complex we define a relevant equivalence relation. The obtained stable theory gives us a geometric description of the H-space structure BSU⊗ on BSU related to the tensor product of virtual SU-bundles of virtual dimension 1.

Investigation of Matrix Theory via Super Lie Algebra

Superstring theory is the most powerful candidate for the theory unifying Standard model and gravity, and this field has been rigorously researched. The discovery of a BPS object named D-brane has lead to the idea that different kinds of superstring theory type IIA, type IIB, type I, SO(32) heterotic and E8 × E8 heterotic theory are related with each other by duality. Now, the formulation of su...

Some results on Haar wavelets matrix through linear algebra

Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.