Invariant polynomials on Lie algebras of inhomogeneous unitary and special orthogonal groups
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- by S. J. Takiff PDF
- Trans. Amer. Math. Soc. 170 (1972), 221-230 Request permission
Abstract:
The ring of invariant polynomials for the adjoint action of a Lie group on its Lie algebra is described for the inhomogeneous unitary and special orthogonal groups. In particular a new proof is given for the fact that this ring for the inhomogeneous Lorentz group is generated by two algebraically independent homogeneous polynomials of degrees two and four.References
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- Joe Rosen, Construction of invariants for Lie algebras of inhomogeneous pseudo-orthogonal and pseudo-unitary groups, J. Mathematical Phys. 9 (1968), 1305ā€“1307. MR 231949, DOI 10.1063/1.1664714
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 170 (1972), 221-230
- MSC: Primary 22E60
- DOI: https://doi.org/10.1090/S0002-9947-1972-0304564-5
- MathSciNet review: 0304564