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math.QA2025★ 1 cited
A new approach to the spider
Stephen Bigelow
The spider gives a diagrammatic way to encode the representation category of the quantum group . The aim of this paper is to define a new spider that contains the…
math.QA2024
Quantum groups from homologies of configuration spaces
Stephen Bigelow, Jules Martel
We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along t…