Schur Multipliers and Second Quandle Homology

Rhea Palak Bakshi; Dionne Ibarra; Sujoy Mukherjee; Takefumi Nosaka; Józef H. Przytycki

doi:10.1016/j.jalgebra.2019.12.027

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arXiv · 1812.04704

Schur Multipliers and Second Quandle Homology

Rhea Palak Bakshi·Dionne Ibarra·Sujoy Mukherjee·Takefumi Nosaka·Józef H. Przytycki

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Abstract

We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exterior algebras. Additionally, we present a self-contained proof of its structure and provide some computational examples.

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Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee, Takefumi Nosaka, Józef H. Przytycki. 2018-12-11. Schur Multipliers and Second Quandle Homology. https://doi.org/10.1016/j.jalgebra.2019.12.027

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