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Degenerate spin groups as semi-direct products

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Kocak, Sahin
Limoncu, Murat

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Let 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)

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Springer

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Mathematics, Applied mathematics, Physics, Mathematical

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Advances in Applied Clifford Algebras

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10.1007/s00006-010-0210-3

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