Christos A. Pallikaros

Associate Professor at the Department of Mathematics and Statistics of the University of Cyprus, Nicosia, Cyprus

Mailing Address:
Department of Mathematics and Statistics
University of Cyprus,
P.O.Box 20537, 1678 Nicosia, CYPRUS
Phone:   +357 22 892631
Fax:   +357 22 892601
E-Mail:   c.a.pallikaros@ucy.ac.cy

Profile:

Undergraduate studies at Imperial College, University of London (B. Sc. in Mathematics 1988). Postgraduate studies at Stanford University (M. Sc., 1990) and Imperial College, University of London (Ph.D., 1993). I have worked at the University of Cyprus (Lecturer: 1993-1996, Assistant Professor: 1996-2006, Associate Professor from 2006).

Research Interests:

Group Representation Theory, Algebraic Combinatorics.

My main research interest is the representation theory of finite Coxeter groups and associated Hecke algebras, which can be thought of as $q$-analogues of the group algebra. I am investigating the representations of these groups by studying the Kazhdan-Lusztig cells and the combinatorics associated with this cell structure, especially in the case of the symmetric group.

Among my recent research interests is the study of Weil representations of symplectic and unitary groups.

Recent Publications:

  • C A Pallikaros, A E Zalesski, Weil representations and some non-reductive dual pairs in symplectic and unitary groups, Comm. Algebra, 39 (2011), 2156-2178.
  • D Deriziotis, T P McDonough, C A Pallikaros, On root subsystems and involutions in $S_n$, Glasgow Math. J. 52 (2010), 357-369. (Associated computation results.)
  • M Geck, L Iancu and C Pallikaros, Specht modules and Kazhdan-Lusztig cells in type $B_n$, J. Pure Appl. Algebra 212 (2008), no. 6, 1310-1320.
  • T P McDonough and C A Pallikaros, On subsequences and certain elements which determine various cells in $S_n$, J. Algebra 319 (2008), no. 3, 1249-1263. (Associated GAP programs and functions: word_programs.gap, word_functions.gap, and basic_functions.gap.)
  • T P McDonough and C A Pallikaros, On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras, J. Pure Appl. Algebra 203 (2005), no. 1-3, 133-144.

    • Full list of publications.

    Link to the "Workshop on Representation Theory" which I organized in Cyprus in May 2009.