Issues on topics

The present volume contains papers that bear mainly on issues concerning the topic concept. This concept is of course very broad and diverse. Also, different views are expressed in this volume. Some authors concentrate on the status of topics and non-topics in so-called topic prominent languages (i.e. Chinese), others focus on the syntactic behavior of topical constituents in specific European languages (German, Greek, Romance languages). The last contribution tries to bring together the concept of discourse topic (a non-syntactic notion) and the concept of sentence topic, i.e. that type of topic that all the preceding papers are concerned with

Some Problems in the Representation Theory of Simple Modular Lie Algebras

The finite-dimensional restricted simple Lie algebras of characteristic p > 5 are classical or of Cartan type. The classical algebras are analogues of the simple complex Lie algebras and have a well-advanced representation theory with important connections to Kazhdan-Lusztig theory, quantum groups at roots of unity, and the representation theory of algebraic groups. We survey progress that has been made towards developing a representation theory for the restricted simple Cartan-type Lie algebras, discuss comparable results in the classical case, formulate a couple of conjectures, and pose a dozen open problems for further study.Comment: References updated; a few minor changes made in this versio