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Abstract: There exists a graded Z-algebra acting in a natural way on many modules of 3-valent diagrams. Every simple Lie superalgebra with a nontrivial invariant bilinear form induces a character on . Classical and exceptional Lie algebras and the Lie superalgebra D(2; 1; ff) produce eight distinct characters on and eight distinct families of weight functions on chord diagrams. As a consequence we prove that weight functions coming from semisimple Lie superalgebras do not detect every element in the... (Update)
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BibTeX entry: (Update)
P. Vogel, Algebraic structures on modules of diagrams, preprint JUSSIEU (1995). http://citeseer.ist.psu.edu/vogel95algebraic.html More
@misc{ vogel95algebraic,
author = "P. Vogel",
title = "Algebraic structures on modules of diagrams",
text = "P. Vogel, Algebraic structures on modules of diagrams, preprint JUSSIEU
(1995).",
year = "1995",
url = "citeseer.ist.psu.edu/vogel95algebraic.html" }
Citations (may not include all citations):35 Theory of singularities and its applications (context) - Vassiliev, of et al. - 1990
4 Hermann Paris (context) - Bourbaki, gebres et al. - 1968
2 Yetter -- A new polynomial invariant of knots and links (context) - Freyd, Hoste et al. - 1985
1 Duzhin -- An upper bound for the number of Vassiliev knots i.. (context) - Chmutov - 1995
1 imitive Vassiliev invariants, MIT preprint (context) - Sawin, Pr - 1993
1 link polynomials and Vassiliev invariants (context) - Piunikhin, of et al. - 1992
1 Columbia University preprint (context) - Stanford, type et al. - 1992
1 Lin -- Knots polynomials and Vassiliev's invariants (context) - Birman - 1993
1 to appear (context) - Willerton, invariants et al.
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