Department of Physics2024-11-0920100188-700910.1007/s00006-010-0210-32-s2.0-79953308952http://dx.doi.org/10.1007/s00006-010-0210-3https://hdl.handle.net/20.500.14288/11089Let Q be a symmetric bilinear form on R(n)=R(p+q+r) with corank r, rank p+q and signature type (p, q), p resp. q denoting positive resp. negative dimensions. We consider the degenerate spin group Spin(Q) = Spin(p, q, r) in the sense of Crumeyrolle and prove that this group is isomorphic to the semi-direct product of the nondegenerate and indefinite spin group Spin(p, q) with the additive matrix group Mat (p + q, r)MathematicsApplied mathematicsPhysicsMathematicalDegenerate spin groups as semi-direct productsConference proceeding283243800007Q32090