Unitary spaces on Clifford algebras NG Marchuk, DS Shirokov Advances in Applied Clifford Algebras 18, 237-254, 2008 | 57 | 2008 |
A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras DS Shirokov Advances in applied Clifford algebras 20, 411-425, 2010 | 29 | 2010 |
Calculation of elements of spin groups using generalized Pauli’s theorem D Shirokov Advances in Applied Clifford Algebras 25, 227-244, 2015 | 28 | 2015 |
General solutions of one class of field equations NG Marchuk, DS Shirokov Reports on mathematical physics 78 (3), 305-326, 2016 | 27 | 2016 |
Concepts of trace, determinant and inverse of Clifford algebra elements D Shirokov arXiv preprint arXiv:1108.5447, 2011 | 24 | 2011 |
Quaternion typification of Clifford algebra elements DS Shirokov Advances in applied Clifford algebras 22 (1), 243-256, 2012 | 23 | 2012 |
Extension of Pauli’s theorem to Clifford algebras DS Shirokov Doklady Mathematics 84 (2), 699-701, 2011 | 23 | 2011 |
On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension DS Shirokov Computational and Applied Mathematics 40 (5), 173, 2021 | 22 | 2021 |
Clifford algebras and their applications to Lie groups and spinors D Shirokov Proceedings of the Nineteenth International Conference on Geometry …, 2018 | 22 | 2018 |
Development of the method of quaternion typification of clifford algebra elements DS Shirokov Advances in Applied Clifford Algebras 22 (2), 483-497, 2012 | 22 | 2012 |
Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism DS Shirokov Theoretical and Mathematical Physics 175, 454-474, 2013 | 19 | 2013 |
Classification of elements of Clifford algebras according to quaternionic types DS Shirokov Dokl. Math 80 (1), 610-612, 2009 | 19 | 2009 |
Constant solutions of Yang-Mills equations and generalized Proca equations N Marchuk, D Shirokov | 16 | 2016 |
Symplectic, orthogonal and linear Lie groups in Clifford algebra DS Shirokov Advances in Applied Clifford Algebras 25, 707-718, 2015 | 16 | 2015 |
Classification of Lie algebras of specific type in complexified Clifford algebras DS Shirokov Linear and Multilinear Algebra 66 (9), 1870-1887, 2018 | 15 | 2018 |
Covariantly constant solutions of the Yang–Mills equations D Shirokov Advances in Applied Clifford Algebras 28 (3), 53, 2018 | 14 | 2018 |
A note on the hyperbolic singular value decomposition without hyperexchange matrices DS Shirokov Journal of Computational and Applied Mathematics 391, 113450, 2021 | 13 | 2021 |
On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝn D Shirokov Journal of Nonlinear Mathematical Physics 27 (2), 199-218, 2020 | 13 | 2020 |
The use of the generalized Pauli's theorem for odd elements of Clifford algebrato analyze relations between spin and orthogonal groups of arbitrary dimensions DS Shirokov Journal of Samara State Technical University, Ser. Physical and Mathematical …, 2013 | 12 | 2013 |
On some relations between spinor and orthogonal groups DS Shirokov P-Adic Numbers, Ultrametric Analysis, and Applications 3, 212-218, 2011 | 12 | 2011 |