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arXiv · 2303.06948

Decomposition of quandle rings of Takasaki quandles

Dilpreet Kaur·Pushpendra Singh
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Abstract

Let $K = \mathbb{R}$ or $\mathbb{C}$ and $T_{n}$ denote the Takasaki quandle of order $n$. In this article we provide decomposition of quandle ring $K[T_n]$ as direct sum of right simple ideals. This decomposition is equivalent to decomposition of regular representation \cite{EM18} of Takasaki quandles.

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Dilpreet Kaur, Pushpendra Singh. 2023-03-13. Decomposition of quandle rings of Takasaki quandles. https://arxiv.org/abs/2303.06948

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