2 papers
math-ph2024
Classification of Lie algebras of specific type in complexified Clifford algebras
D. S. Shirokov
We give a full classification of Lie algebras of specific type in complexified Clifford algebras. These sixteen Lie algebras are direct sums of subspaces of quaternion types. We ob…
math-ph2024
Symplectic, orthogonal and linear Lie groups in Clifford algebra
D. S. Shirokov
In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal…