46 citations · 182 across the 16 of their papers we have counts for
16 papers
On constant solutions of SU(2) Yang-Mills-Dirac equations
D. S. Shirokov
For the first time, a complete classification of all constant solutions of the Yang-Mills-Dirac equations with SU(2) gauge symmetry in Minkowski space is given.…
Basis-free Formulas for Characteristic Polynomial Coefficients in Geometric Algebras
K. S. Abdulkhaev, D. S. Shirokov
In this paper, we discuss characteristic polynomials in (Clifford) geometric algebras of vector space of dimension . We present basis-free formulas fo…
Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension
D. S. Shirokov
The Sylvester equation and its particular case, the Lyapunov equation, are widely used in image processing, control theory, stability analysis, signal processing, model reduction,…
On inner automorphisms preserving subspaces of Clifford algebras
D. S. Shirokov
In this paper, we consider inner automorphisms that leave invariant fixed subspaces of real and complex Clifford algebras -- subspaces of fixed grades and subspaces determined by t…
On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension
D. S. Shirokov
In this paper, we solve the problem of computing the inverse in Clifford algebras of arbitrary dimension. We present basis-free formulas of different types (explicit and recursive)…
A note on the hyperbolic singular value decomposition without hyperexchange matrices
D. S. Shirokov
We present a new formulation of the hyperbolic singular value decomposition (HSVD) for an arbitrary complex (or real) matrix without hyperexchange matrices and redundant invariant…