Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "McDonough, T. P."
Now showing items 1-8 of 8
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A difference matrix construction and a class of balanced generalized weighing matrices
Mavron, V. C.; McDonough, T. P.; Pallikaros, Christakis Andrea (2001)In this paper, we obtain new balanced generalized weighing matrices and new difference matrices. For the former, we use nearfields and adapt a construction of Berman [1]. For the latter, we generalize a construction of ...
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Generalised Hadamard matrices and translations
McDonough, T. P.; Mavron, V. C.; Pallikaros, Christakis Andrea (2000)Some properties of generalised Hadamard matrices are discussed and proven. © 2000 Elsevier Science B.V.
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On double cosets with the trivial intersection property and kazhdan-lusztig cells in Sn
McDonough, T. P.; Pallikaros, Christakis Andrea (2015)For a composition λ of n our aim is to obtain reduced forms for all the elements in the Kazhdan-Lusztig (right) cell containing wJ(λ), the longest element of the standard parabolic subgroup of Sn corresponding to λ. We ...
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On embedding certain Kazhdan–Lusztig cells of $$S_n$$Sninto cells of $$S_{n+1}$$Sn+1
McDonough, T. P.; Pallikaros, Christos A. (2018)In this paper, we consider a particular class of Kazhdan–Lusztig cells in the symmetric group $$S_n$$Sn, the cells containing involutions associated with compositions $$\lambda $$λof n. For certain families of compositions ...
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On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras
McDonough, T. P.; Pallikaros, Christakis Andrea (2005)Let H be the Hecke algebra of a Coxeter system (W, where W is a Weyl group of type An, over the ring of scalars A = Z[q1/2, q-1/2, where q is an indeterminate. We show that the Specht module Sλ, as defined by Dipper and ...
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On subsequences and certain elements which determine various cells in Sn
McDonough, T. P.; Pallikaros, Christakis Andrea (2008)We study the relation between certain increasing and decreasing subsequences occurring in the row form of certain elements in the symmetric group, following Schensted [C. Schensted, Longest increasing and decreasing ...
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On the irreducible representations of the specializations in characteristics 2 and 3 of the generic Hecke algebra of type F4
McDonough, T. P.; Pallikaros, Christakis Andrea (2000)A complete determination of the irreducible modules of specialized Hecke algebras of type F4, with respect to specializations with equal parameters, has been obtained by M. Geck and K. Lux (1991, Manuscripta Math.70, ...
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Article
On the irreducible representations of the specializations of the generic Hecke algebra of type F4
McDonough, T. P.; Pallikaros, Christakis Andrea (1999)A complete determination of the irreducible modules of specialized Hecke algebras of type F4, with respect to specializations with equal parameters, was obtained by M. Geck and K. Lux (1991, Manuscripta Math. 70, 285-306). ...