Cocycle Deformations of Algebraic Identities and R-matrices

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dc.creatorCarter, J. Scott
dc.creatorCrans, Alissa
dc.creatorElhamdadi, Mohamed
dc.creatorSaito, Masahico
dc.date2008-02-15
dc.date.accessioned2026-07-07T09:21:23Z
dc.date.available2026-07-07T09:21:23Z
dc.descriptionFor an arbitrary identity L=R between compositions of maps L and R on tensors of vector spaces V, a general construction of a 2-cocycle condition is given. These 2-cocycles correspond to those obtained in deformation theories of algebras. The construction is applied to a canceling pairings and copairings, with explicit examples with calculations. Relations to the Kauffman bracket and knot invariants are discussed.
dc.description17 pages, 15 figures, submitted to the Quantum Topology Hanoi Conference Proceedings
dc.identifierhttps://arxiv.org/abs/0802.2294
dc.identifierhttp://arxiv.org/abs/0802.2294
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155005
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject16W30;18G35;57M25;57T99;57U15
dc.titleCocycle Deformations of Algebraic Identities and R-matrices
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