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Virtual Knots and Infinite-Dimensional Lie Algebras

Virtual Knots and Infinite-Dimensional Lie Algebras In the present work, we construct an invariant of virtual knots valued in (infinite-dimensional) Lie Algebras and establish some properties of it. This leads to some heuristic ideas how to construct quandles and extract (virtual) link invariants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Virtual Knots and Infinite-Dimensional Lie Algebras

Acta Applicandae Mathematicae , Volume 83 (3) – Oct 8, 2004

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1023/B:ACAP.0000038944.29820.5e
Publisher site
See Article on Publisher Site

Abstract

In the present work, we construct an invariant of virtual knots valued in (infinite-dimensional) Lie Algebras and establish some properties of it. This leads to some heuristic ideas how to construct quandles and extract (virtual) link invariants.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Oct 8, 2004

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