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On Some Lie Groups in Degenerate Geometric Algebras

  • Ekaterina Filimoshina,
  • Dmitry Shirokov

摘要

In this paper, we introduce and study several Lie groups in degenerate (Clifford) geometric algebras. These Lie groups preserve the even and odd subspaces under the adjoint representation and the twisted adjoint representation. The considered Lie groups are interesting for the study of spin groups and their generalizations in degenerate case.