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Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants by Gang Han is a Mathematics article available to read on EtoBox.
What is Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants about?
Let (g, θ) be a semisimple involutory Lie algebra and (g, k) the corresponding symmetric pair. Let h be a fundamental Cartan subalgebra of (g, θ) containing a Cartan subalgebra t of k. The semisimple involutory Lie algebras (g, θ) with the symmetric subalgebra k noncohomologous to zero in g are completely classified by showing that k is noncohomologous to zero in g if and only if the Spin ν representation of (g, θ) is primary. Based on this result we then determine the image of the restriction map S(h \* ) W (g,h) → S(t \* ) W (k,t) , where W (g, h) and W (k, t) are the respective Weyl groups.
Who reads Symmetric subalgebras noncohomologous to zero in a complex semisimple Lie algebra and restrictions of symmetric invariants?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Gang Han
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)