نمایش‌های جبرهای با بعد محدود و موضوعات مرتبط در نظریهٔ لی و هندسه: [دهمین کنفرانس بین‌المللی دربارهٔ نمایش‌های جبرها و موضوعات مرتبط (ICRA X) ... تورنتو ... از ۱۵ ژوئیه تا ۱۰ اوت ۲۰۰۲]

There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis Semigroup and Ring Theoretical Methods in Probability / Kenneth S. Brown -- Typical Examples of Tame Algebras / Thomas Bruestle -- Representation Dimension and Solomon Zeta Function / Osamu Iyama -- Filtrations, Stratifications and Applications / Steffen Koenig -- Bruhat-Renner Decomposition and Hecke Algebras of Reductive Monoids / Mohan S. Putcha -- Representations and Blocks of Algebraic Monoids / Lex E. Renner -- The Descent Algebra of the Symmetric Group / Manfred Schocker -- A Remark on Letzter-Makar-Limanov Invariants / Yuriy Berest -- Derived Categories of Coherent Sheaves on Rational Singular Curves / Igor Burban -- Vector Bundles and Cohen -- Macaulay Modules / Yuriy A. Drozd

These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ''instructional'' workshop preceding the conference, there were also workshops on ''Commutative Algebra, Algebraic Geometry and Representation Theory'', ''Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ''Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The book is recommended for graduate students and researchers in algebra and geometry.