Unitary spaces on Clifford algebras NG Marchuk, DS Shirokov Advances in Applied Clifford Algebras 18, 237-254, 2008 | 61 | 2008 |
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 | 30 | 2021 |
Calculation of elements of spin groups using generalized Pauli’s theorem D Shirokov Advances in Applied Clifford Algebras 25, 227-244, 2015 | 30 | 2015 |
General solutions of one class of field equations NG Marchuk, DS Shirokov Reports on mathematical physics 78 (3), 305-326, 2016 | 29 | 2016 |
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 |
Concepts of trace, determinant and inverse of Clifford algebra elements D Shirokov arXiv preprint arXiv:1108.5447, 2011 | 27 | 2011 |
Clifford algebras and their applications to Lie groups and spinors D Shirokov Proceedings of the Nineteenth International Conference on Geometry …, 2018 | 26 | 2018 |
Extension of Pauli's theorem to Clifford algebras. D Shirokov Doklady Mathematics 84 (2), 2011 | 25 | 2011 |
Quaternion typification of Clifford algebra elements DS Shirokov Advances in applied Clifford algebras 22 (1), 243-256, 2012 | 24 | 2012 |
Development of the method of quaternion typification of clifford algebra elements DS Shirokov Advances in Applied Clifford Algebras 22 (2), 483-497, 2012 | 23 | 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 | 21 | 2013 |
Classification of elements of Clifford algebras according to quaternionic types DS Shirokov Dokl. Math 80 (1), 610-612, 2009 | 21 | 2009 |
Classification of Lie algebras of specific type in complexified Clifford algebras DS Shirokov Linear and Multilinear Algebra 66 (9), 1870-1887, 2018 | 17 | 2018 |
Constant solutions of Yang-Mills equations and generalized Proca equations N Marchuk, D Shirokov | 17 | 2016 |
Symplectic, orthogonal and linear Lie groups in Clifford algebra DS Shirokov Advances in Applied Clifford Algebras 25, 707-718, 2015 | 17 | 2015 |
Covariantly constant solutions of the Yang–Mills equations D Shirokov Advances in Applied Clifford Algebras 28 (3), 53, 2018 | 16 | 2018 |
A note on the hyperbolic singular value decomposition without hyperexchange matrices DS Shirokov Journal of Computational and Applied Mathematics 391, 113450, 2021 | 14 | 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 |
Calculation of elements of spin groups using method of averaging in Clifford’s geometric algebra D Shirokov Advances in Applied Clifford Algebras 29 (3), 50, 2019 | 13 | 2019 |
On explicit formulas for characteristic polynomial coefficients in geometric algebras K Abdulkhaev, D Shirokov Computer Graphics International Conference, 670-681, 2021 | 12 | 2021 |