Quaternion Algebras and Invariants of Virtual Knots and Links I: The Elliptic Case
classification
🧮 math.GT
math.RA
keywords
findinvariantsknotslinkssolutionsusedvirtualalgebras
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In this paper we show how generalized quaternions, including 2X2 matrices, can be used to find solutions of a non-commuting equation intimately connected with braid groups. These solutions can then be used to find polynomial invariants of virtual knots and links.
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