Special Issue
Proceedings of the workshop
“C¤–algebras, Lie algebras and related topics”
(Kyiv, Ukraine, December 4-6, 2003)
Special editors:
Volodymyr Mazorchuk
Department of Mathematics
Uppsala University Box. 480,
SE-75106, Uppsala, SWEDEN

Lyudmila Turowska
Matematiska Vetenskaper
Chalmers Tekniska Hogskola
SE-412 96, Goteborg, SWEDEN


The Editorial Board of the journal “Algebra and Discrete mathematics”
is grateful to Lyudmila Turowska and Volodymyr Mazorchuk for their
help, which is difficult to overestimate.

This issue consists of the papers presented at the workshop ``$C^*$--algebras, Lie algebras and related topics'', which was held in the Institute of Mathematics of the Ukrainian Academy of Sciences during December 4-6, 2003. The workshop was organized by Yuriy Drozd (Kyiv), Volodymyr Mazorchuk (Uppsala), Vasyl Ostrovskyi (Kyiv), Sergiy Ovsienko (Kyiv), Yuri Samoilenko (Kyiv) and Lyudmila Turowska (Gothenburg) in the framework of the cooperation project between the Department of Functional Analysis, Institute of Mathematics of the Ukrainian Academy of Sciences, Kyiv, Ukraine; Department of Algebra and Mathematical Logics, Faculty of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Kyiv, Ukraine; Department of Mathematics, Gothenburg University and Chalmers University of Technology, Gothenburg, Sweden; and Department of Mathematics, Uppsala University, Uppsala, Sweden. The project is supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The present workshop is the first one in the series of four, planned by the project for the period 2003-2007. The next workshop in the series is planned to be held in Uppsala during the fall of 2004, followed by two more workshops in Kyiv and Gothenburg.

About 30 mathematicians from Hungary, Sweden and Ukraine participated at the workshop, which consisted of 21 talks, held in the friendly and stimulating atmosphere of the Institute of Mathematics. The partner research groups also had enough time for discussions, which paved the way to the successful start of their collaboration.

All the talks on the workshop were concentrated around the structure and representation theory of various classes of algebras. The second working day, December 5th, 2003, was a special day, dedicated to the 60'th Birthday of Professor Yuri Samoilenko. All the talks on this day were presented by the former and present students of Yuri Samoilenko, and have shown the recent developments in the branches of modern functional analysis and representation theory, initiated and originally studied by him.

Volodymyr Mazorchuk,
Chairman of the Organizing Committee
  Table of contents ADM - Number 3 (2004)
    V. M. Bondarenko On wildness of idempotent generated algebras associated with extended Dynkin diagrams
full text in | pdf | ps |
  Yu. A. Chapovsky,
A. A. Kalyuzhnyi,
G. B. Podkolzin
On the group of extensions for the bicrossed product construction for a locally compact group
full text in | pdf | ps |
  Y. Drozd,
E. Kubichka
Dimensions of finite type for representations of partially ordered sets
full text in | pdf | ps |
  A. Frisk Two-step tilting for standardly stratified algebras full text in | pdf | ps |
  E. Jushenko On decompositions of affine Coxeter groups
in semi-direct products
full text in | pdf | ps |
  A. A. Kyrychenko,
Yu. S. Samoilenko
On the spectrum and spectrum multiplicities of a sum of orthogonal projections

full text in | pdf | ps |

  V. Mazorchuk On finitistic dimension of stratified

full text in | pdf | ps |

  A. Mellit Kleinian singularities and algebras
generated by elements that have given
spectra and satisfy a scalar sum relation
full text in | pdf | ps |
  S. Popovych,
L. Turowska
Unitarizable and non-unitarizable
represenations of algebras generated by
full text in | pdf | ps |
  Y. Savchuk C¤-algebra generated by four projections
with sum equal to 2
full text in | pdf | ps |
  A. Timoshin Representations of linear groups over
full text in | pdf | ps |
  M. Vlasenko Description of the center of certain
quotients of the Temperley-Lieb algebra of
type eAN
full text in | pdf | ps |
  all abstracts in | pdf | ps |