MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I-Reference-Cited by-同舟云学术

MULTIVARIABLE LINK INVARIANTS ARISING FROM LIE SUPERALGEBRAS OF TYPE I

Published:2010-01 Issue:01 Volume:19 Page:93-115
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

GEER NATHAN¹,PATUREAU-MIRAND BERTRAND²

Affiliation:

1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA

2. LMAM, Université de Bretagne-Sud, BP 573, F-56017 Vannes, France

Abstract

In this paper, we construct new links invariants from a type I basic Lie superalgebra 𝔤. The construction uses the existence of an unexpected replacement of the vanishing quantum dimension of typical module, by non-trivial "fake quantum dimensions". Using this, we get a multivariable link invariant associated to any one parameter family of irreducible 𝔤-modules.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216510007784

Reference23 articles.

1. INVARIANTS OF COLORED LINKS

2. A Poincaré–Birkhoff–Witt commutator lemma for Uq[gl(m|n)]

3. Some remarks on quantized Lie superalgebras of classical type

4. Multivariable link invariants arising from sl(2|1) and the Alexander polynomial

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some remarks on relative modular categories;Journal of Pure and Applied Algebra;2024-09

2. Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups;Journal of the London Mathematical Society;2024-01

3. Relative (pre)-modular categories from special linear Lie superalgebras;Journal of Algebra;2021-11

4. A closed formula for the evaluation of foams;Quantum Topology;2020-08-22

5. Mixed quantum skew Howe duality and link invariants of type A;Journal of Pure and Applied Algebra;2019-07