Tangle Invariants from the Quantum Group U[sub]q(sl3C)University of Michigan., 1993 |
Contents
CHAPTER | 6 |
REPRESENTATIONS OF Uqsl3C | 22 |
THE LINK INVARIANT | 51 |
Copyright | |
2 other sections not shown
Common terms and phrases
3-manifold invariants A-subalgebra A'-algebra A₁ associated ribbon tangle canonical basis ch V₁(1 charmed Hopf algebra charmed with respect colored commutative ring compute construction decomposition define Definition denote element equivalent Figure finite dimensional framed link H₁ highest weight U-module highest weight vector HOMFLY polynomial homomorphism IN² integer irreducible isomorphic isotopy Jones polynomial K₁ Lemma Lie algebra link diagrams link invariants Lusztig Math min{m,p notation one-dimensional oriented framed tangle Proof Proposition quantum groups quasitriangular quasitriangular Hopf algebra R-matrix Reidemeister moves representations Reshetikhin and Turaev resp root of unity Rosso skein relation symmetry tangle invariants tangle operators tensor products theorem tilting module U₁ universal enveloping algebra Uq(sl3C V₁ V₁(A Verma modules Vq(A weight spaces Y₁ X₁ Y₂ X₂ Y₂v Y₂Y Σ Σ