Expansion of the Inhomogeneous Symplectic Lie Algebras T(2n)+ lim ←Sp(n) to Sp(n+2)
- 1 April 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (4) , 1483-1488
- https://doi.org/10.1063/1.1665284
Abstract
We show that the semidirect sum with T(Nn) the ideal, can be expanded to Sp(n + N) iff N = 2. We derive a general formula for invariants of and, besides, two general formulas for invariants of ISO(n1, n2). As a conclusion we find that an expansion E(G) of an arbitrary Lie algebra G, in general, is not isomorphic to a deformation D(G) of G, but that there exists a Lie algebra G′ ⊇ G and a deformation D(G′) of G′ such that E(G) ≅ D(G′).
Keywords
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