- School of Mathematics and Statistics - Research Publications
School of Mathematics and Statistics - Research Publications
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ItemString homology of spheres and projective spacesWesterland, C (GEOMETRY & TOPOLOGY PUBLICATIONS, 2007)
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ItemCOMMUTING FAMILIES IN HECKE AND TEMPERLEY-LIEB ALGEBRASHalverson, T ; Mazzocco, M ; Ram, A (NAGOYA UNIV, 2009-09)Abstract We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb algebra and give their explicit expansion in terms of the basis of planar Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the generic irreducible representations. We show that they come from Jucys-Murphy elements in the affine Hecke algebra of type A, which in turn come from the Casimir element of the quantum group . We also give the explicit specializations of these results to the finite Temperley-Lieb algebra.
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ItemStructure and finiteness properties of subdirect products of groupsBridson, MR ; Miller, CF (LONDON MATH SOC, 2009-05)
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ItemPositive and real-positive solutions to the equation axa* = c in C*-algebrasCVETKOVI-ILIC, D. ; DAJIC, A. ; KOLIHA, J. ( 2007)
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ItemMinimal triangulations for an infinite family of lens spacesJaco, W ; Rubinstein, H ; Tillmann, S (WILEY, 2009)
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ItemPositive solutions to the equations AX = C and XB = D for Hilbert space operatorsDajic, A ; Koliha, JJ (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2007-09-15)
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ItemFINDING PLANAR SURFACES IN KNOT- AND LINK-MANIFOLDSJaco, W ; Rubinstein, JH ; Sedgwick, E (WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03)It is shown that given any link-manifold, there is an algorithm to decide if the manifold contains an embedded, essential planar surface; if it does, the algorithm will construct one. Two similar results are obtained with added boundary conditions. Namely, given a link-manifold M, a component B of ∂M, and a slope γ on B, there is an algorithm to decide if there is an embedded punctured-disk in M with boundary γ and punctures in ∂M\B; and given a link-manifold M, a component B of ∂M, and a meridian slope μ on B, there is an algorithm to decide if there is an embedded punctured-disk with boundary a longitude on B and punctures in ∂M\B. In both cases, if there is one, the algorithm will construct one. The proofs introduce a number of new methods and differ from the classical proofs, using normal surfaces, as solutions may not be found among the fundamental solutions.
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ItemFinite symmetric graphs with 2-arc transitive quotients IILU, Z. ; ZHOU, S. ( 2007)
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ItemSimultaneous diagonal flips in plane triangulationsBose, P ; Czyzowicz, J ; Gao, Z ; Morin, P ; Wood, DR (WILEY, 2007-04)
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ItemPunctured plane partitions and the q-deformed Knizhnik-Zamolodchikov and Hirota equationsde Gier, J ; Pyatov, P ; Zinn-Justin, P (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009-05)