Topological invariants for lens spaces and exceptional quantum groups

DOI10.1023/A:1007366912839zbMATH Open0881.57008arXivq-alg/9612034MaRDI QIDQ1366435

R. B. Zhang

Publication date: 10 September 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Abstract: The Reshetikhin - Turaev invariants arising from the quantum groups associated with the exceptional Lie algebras $G_2$, $F_4$ and $E_8$ at odd roots of unity are constructed and explicitly computed for all the lens spaces.

Full work available at URL: https://arxiv.org/abs/q-alg/9612034

zbMATH Keywords

quantum groups3-manifoldReshetikhin-Turaev invariantsexceptional Lie algebraslens spaces

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (1)

Topological invariants from nonrestricted quantum groups

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