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- W3011130948 abstract "For an associative algebra A and a class C of representations of A the following question (related to nullstellensatz) makes sense: Characterize all tuples of elements a1,…,an∈A such that vectors π(a1)v,…,π(an)v are linearly dependent for every π∈C and every v in the representation space of π. We answer this question in the following cases: A=U(L) is the enveloping algebra of a finite-dimensional complex Lie algebra L and C is the class of all finite-dimensional representations of A. A=U(sl2(C)) and C is the class of all finite-dimensional irreducible representations of A. A=U(sl3(C)) and C is the class of all finite-dimensional irreducible representations of A with sufficiently high weights." @default.
- W3011130948 created "2020-03-23" @default.
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- W3011130948 date "2020-07-01" @default.
- W3011130948 modified "2023-10-10" @default.
- W3011130948 title "A local-global principle for linear dependence in enveloping algebras of Lie algebras" @default.
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- W3011130948 doi "https://doi.org/10.1016/j.laa.2020.03.011" @default.
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