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On Some Lie Groups in Degenerate Clifford Geometric Algebras
In this paper, we introduce and study five families of Lie groups in
degenerate Clifford geometric algebras. These Lie groups preserve the even and
odd subspaces and some other subspaces under the adjoint representation and the
twisted adjoint representation. The considered Lie groups contain degenerate
spin groups, Lipschitz groups, and Clifford groups as subgroups in the case of
arbitrary dimension and signature. The considered Lie groups can be of interest
for various applications in physics, engineering, and computer science.Comment: 30 page