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- W2953784809 abstract "We prove that there are no injective homomorphisms between enveloping algebras of non-isomorphic semi-simple Lie algebras of the same dimension. We also describe the center of reduction modulo large prime $p$ of the enveloping algebra of an algebraic Lie algebra $mathfrak{g}$ with the property that the center of its enveloping algebra is a polynomial algebra and $Sym(mathfrak{g})$ has no non-trivial semi-invariants with respect to the adjoint $mathfrak{g}$ action, in particular showing that it is generated by the Harish-Chandra part and $p$-center, and is a complete intersection ring. As an application, we solve the derived isomorphism problem of enveloping algebras for a class of Lie algebras." @default.
- W2953784809 created "2019-07-12" @default.
- W2953784809 creator A5071143950 @default.
- W2953784809 date "2019-07-05" @default.
- W2953784809 modified "2023-09-27" @default.
- W2953784809 title "Rigidity and derived isomorphism problem for enveloping algebras" @default.
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