F-system for symmetry breaking operators(j = i-1, i case)

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Abstract

As we discussed in the previous chapter, the F-method (see Fact 3.3) establishes a natural bijection (5.31) between the space DiffG'(I(i, l)α, J(j, n)b) of differential symmetry breaking operators and the space Sol (n+;s(i) l;a; t(j) n;b) of HomC (V;W)- valued polynomial solutions to the F-system, whereV = Vi(Cn) and W = Vj(Cn-1).

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Kobayashi, T., Kubo, T., & Pevzner, M. (2016). F-system for symmetry breaking operators(j = i-1, i case). In Lecture Notes in Mathematics (Vol. 2170, pp. 67–85). Springer Verlag. https://doi.org/10.1007/978-981-10-2657-7_6

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