Topological Invariants For Lens Spaces And Exceptional Quantum Groups

1996/12/29 by R. B. Zhang, Zhang, R. B. · 1 citation
Mathematics · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9612034

LaTeX 10 pages

arxiv created 1996/12/29 · openalex publication_date 1996/12/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Reshetikhin - Turaev invariants arising from the quantum groups associated with the exceptional Lie algebras G₂, F₄ and E₈ at odd roots of unity are constructed and explicitly computed for all the lens spaces.

Cited by

• Braided symmetric algebras and a first fundamental theorem of invariant theory for \rm U_q(G₂)

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