MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA

By J. Juyumaya. 2004

68 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c2c42a11de0335a5f1e7611170d1c8ce874b8cf0

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In Algebra and Number Theory

1. Sofia Lambropoulou
2. Loïc Poulain d'Andecy
3. Maria Chlouveraki
4. Amnon Yekutieli
5. Igor Dolgachev
6. G. Rond
7. Steven Dale Cutkosky
8. J. Št’ovíček

In Geometry and Topology

1. Sofia Lambropoulou
2. Loïc Poulain d'Andecy
3. Maria Chlouveraki
4. Louis H. Kauffman

In Mathematical Physics

1. Sofia Lambropoulou
2. Loïc Poulain d'Andecy
3. Maria Chlouveraki

Citations in the corpus

• Representation theory of the Yokonuma-Hecke algebra (2013, background): “al symmetrising form on Yd,n(q), because τbecomes the canonical symmetrising form on the group algebra of G(d,1,n) for q = ±1. Remark 6. The map τis a Markov trace on Yd,n(q) in the sense of Juyumaya [Ju3], with all parameters equal to zero. Finally, let α ∈ Yd,n(q). The element α can be written in ”
• AN INVARIANT FOR SINGULAR KNOTS (2009, methodology): “Theorem 3 (Juyumaya, 2004).”