Browsing by Author "Pallikaros, Christakis Andrea"
Now showing items 1-15 of 15
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Article
Commutative nilpotent closed algebras and weil representations
Pallikaros, Christakis Andrea; Ward, H. N. (2015)Let F be the field GF(q2) of q2 elements, q odd, and let V be an F-vector space endowed with a nonsingular Hermitian form φ. Let σ be the adjoint involutory antiautomorphism of EndFV associated to the form, and let U(φ) ...
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Article
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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Article
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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A note on the representation theory of the hecke algebra of type F4
Pallikaros, Christakis Andrea (1997)
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Article
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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Article
On point transformations of generalized nonlinear diffusion equations
Pallikaros, Christakis Andrea; Sophocleous, Christodoulos (1995)This paper classifies all finite point transformations of a general class between generalized diffusion equations of the form ut=x 1-M [xN-1f(u)ux]x. These transformations may be divided into three cases, depending on the ...
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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 root subsystems and involutions in Sn
Deriziotis, D.; Mcdonough, T. P.; Pallikaros, Christakis Andrea (2010)Given an involution z in W, where W is the symmetric group of degree n, we study the relation between the subsystems of a root system for W corresponding to certain decreasing subsequences of z and the two-sided Kazhdan-Lusztig ...
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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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Article
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). ...
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Article
Representations of Hecke Algebras of Type Dn
Pallikaros, Christakis Andrea (1994)
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Doctoral Thesis
Representations of Hecke algebras of type Dn
Pallikaros, Christakis Andrea (University of London, 1993)
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Article
Specht modules and Kazhdan-Lusztig cells in type Bn
Geck, Meinolf; Iancu, Lacrimioara; Pallikaros, Christakis Andrea (2008)Dipper, James and Murphy generalized the classical Specht module theory to the Hecke algebras of type Bn. On the other hand, for any choice of a monomial order on the parameters of type Bn, we obtain the corresponding ...
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Article
Weil representations and some nonreductive dual pairs in symplectic and unitary groups
Pallikaros, Christakis Andrea; Zalesski, A. E. (2011)We study the restriction of the Weil representations of symplectic and unitary groups to subgroups that are the centralizers of certain elements, and show that these are multiplicity free. This work is along the line of ...