Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 42, Issue 10, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/10/105201
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Funding
- Ministry of Education of the Czech Republic [MSM6840770039, LC06002]
- NSERC of Canada
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We construct all solvable Lie algebras with a specific n-dimensional nilradical n(n,2) (of degree of nilpotency n - 1 and with an (n - 2)-dimensional maximal Abelian ideal). We find that for given n such a solvable algebra is unique up to isomorphisms. Using the method of moving frames we construct a basis for the Casimir invariants of the nilradical n(n,2). We also construct a basis for the generalized Casimir invariants of its solvable extension s(n+1) consisting entirely of rational functions of the chosen invariants of the nilradical.
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