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F-system for Symmetry Breaking Operators ( j = i–1, i case)

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2170)

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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© 2016 Springer Nature Singapore Pte Ltd.

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Kobayashi, T., Kubo, T., Pevzner, M. (2016). F-system for Symmetry Breaking Operators ( j = i–1, i case). In: Conformal Symmetry Breaking Operators for Differential Forms on Spheres. Lecture Notes in Mathematics, vol 2170. Springer, Singapore. https://doi.org/10.1007/978-981-10-2657-7_6

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