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- W1882659527 abstract "Let $mathcal{B}_mathfrak{q}$ be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix $mathfrak{q}$. We consider the graded dual $mathcal{L}_{mathfrak{q}}$ of the distinguished pre-Nichols algebra $widetilde{mathcal{B}}_{mathfrak{q}}$ from [A3] and the divided powers algebra $mathcal{U}_{mathfrak{q}}$, a suitable Drinfeld double of $mathcal{L}_{mathfrak{q}} # mathbf{k} mathbb{Z}^{theta}$. We provide basis and presentations by generators and relations of $mathcal{L}_{mathfrak{q}}$ and $mathcal{U}_{mathfrak{q}}$, and prove that they are noetherian and have finite Gelfand-Kirillov dimension." @default.
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- W1882659527 date "2015-01-19" @default.
- W1882659527 modified "2023-10-01" @default.
- W1882659527 title "The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type" @default.
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