Abstract
We compare various algebras associated with a representation of a semisimple Lie algebra. Their general construction is akin to that of the Clifford algebra (arising from the defining representation of the orthogonal algebra). These algebras arise from the symmetric product, skew product, or Cartan product of representations together with some additional data.
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References
E.B. Dynkin, The maximal subgroups of the classical groups, Amer. Math. Soc. Transl. Series 2 vol. 6 (1957), 245–378.
M.G. Eastwood, Higher symmetries of the Laplacian, hep-th/0206233.
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© 2004 Birkhäuser Boston
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Eastwood, M. (2004). Algebras Like Clifford Algebras. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_17
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_17
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3525-1
Online ISBN: 978-1-4612-2044-2
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