科研之友
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摘要
Recently, E.Feigin introduced a very interesting contraction q of a semisimple Lie algebra g (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reductive Lie algebras retain good invariant-theoretic properties of g. For instance, the algebras of invariants of both adjoint and coadjoint representations of q are free, and also the enveloping algebra of q is a free module over its centre.
- 出版日期2012
