School of Mathematics and Statistics - Research Publications
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ItemStable splittings of surface mapping spaces(ELSEVIER SCIENCE BV, 2006-09-01)
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ItemEmbedding properties of metabelian Lie algebras and metabelian discrete groups(OXFORD UNIV PRESS, 2006-04-01)
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ItemString homology of spheres and projective spaces(GEOMETRY & TOPOLOGY PUBLICATIONS, 2007-01-01)
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ItemAffine Braids, Markov traces and the category O(American Mathematical Society, 2007)
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ItemSemisimple Varieties of Modal Algebras(Springer Science and Business Media LLC, 2006-06)
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ItemLabelling Cayley graphs on Abelian groups(SIAM PUBLICATIONS, 2006-01-01)
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ItemCOMMUTING FAMILIES IN HECKE AND TEMPERLEY-LIEB ALGEBRAS(NAGOYA UNIV, 2009-09-01)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 groups(LONDON MATH SOC, 2009-05-01)
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ItemThe nullity and rank of linear combinations of idempotent matrices(ELSEVIER SCIENCE INC, 2006-10-01)
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