Link invariant for the spinor representation of $\germ{so}\sb 7$.
Patureau-Mirand, Bertrand
HAL, hal-00150506 / Harvested from HAL
The author uses the spinor representation of the Lie algebra $\germ s\germ o\sb 7$ to construct a link invariant with values in the ring of Laurent polynomials in one variable. He uses skein theory to derive a recursive algorithm for the calculation of the invariant. The quantum invariants associated to ${\rm Spin}_n$ representations of $\germ s\germ o_n$, $n<7,$ can be deduced from the classical polynomial knot invariants.
Publié le : 2004-07-05
Classification:  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
@article{hal-00150506,
     author = {Patureau-Mirand, Bertrand},
     title = {Link invariant for the spinor representation of $\germ{so}\sb 7$.},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00150506}
}
Patureau-Mirand, Bertrand. Link invariant for the spinor representation of $\germ{so}\sb 7$.. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00150506/