Andruskiewitsch–Schneider generation conjecture for finite Nichols algebras
Andruskiewitsch–Schneider generation conjecture for finite Nichols algebras
Let for a finite group , and let
be a finite-dimensional coradically graded connected Hopf algebra, with its degree-one component. Andruskiewitsch–Schneider conjecture. is generated as an algebra by ; equivalently,
This is the generation-in-degree-one step of the Andruskiewitsch–Schneider lifting method for classifying finite-dimensional pointed Hopf algebras. The source gives no resolution status for the conjecture.
Sources & referencesView supporting material
Primary source
Iván Angiono, “Pointed Hopf algebras revisited, with a view from tensor categories”, arXiv:2510.03124 (2026).
Additional references
7 papers in this index state this conjecture (2001–2025). The statement above is taken from the most recent of them; the others are arXiv:1705.00339, arXiv:1701.01991, arXiv:1612.04987, arXiv:1403.7838, arXiv:1008.4144, arXiv:math/0110136.
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