Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press. This book gives the reader an introduction to the theory of algebraic representations of reductive algebraic groups. To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes.
Representations of Groups: A Computational Approach
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study.
During the last few years, a new approach to linguistic analysis has started to emerge. This approach, which has come to be known under various labels such as 'data-oriented parsing' (DOP), 'corpus-based interpretation' and 'treebank grammar', assumes that human language comprehension and production works with representations of concrete past language experiences rather than with abstract grammatical rules.
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In this highly original reanalysis of minimalist syntax, Thomas Stroik considers the optimal design properties for human language. Taking as his starting point Chomsky's minimalist assumption that the syntactic component of a language generates representations for sentences that are interpreted at perceptual and conceptual interfaces, Stroik investigates how these representations can be generated most parsimoniously. Countering the prevailing analyses of minimalist syntax, he argues that the computational properties of human language consist only of strictly local Merge operations that lack both look-back and look-forward properties.
