The SGH-algebra conjecture for hyperkähler cones

Let CC be a hyperkähler cone, and let BB be the graded H-algebra defined in Definition 3.3. SGH-algebra conjecture. The graded H-algebra BB is an SGH-algebra. This is the algebraic property needed in the paper's correspondence between hyperkähler cones and graded H-algebras; the supplied context does not state a resolution.

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Primary source

Dominic Joyce, “A theory of quaternionic algebra, with applications to hypercomplex geometry”, arXiv:math/0010079 (2000).

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