《結合代數(shù)表示論基礎(第1卷)(英文版)》內容簡介：The idea of representing a complex mathematical object by a simplerone is as old as mathematics itself. It is particularly useful in classificationproblems. For instance, a single linear transformation on a finite dimen-sional vector space is very adequately characterised by its reduction to itsrational or its Jordan canonical form. It is now generally accepted that therepresentation theory of associative algebras traces its origin to Hamilton'sdescription of the complex numbers by pairs of real numbers. During the1930s, E. Noether gave to the theory its modern setting by interpreting rep-resentations as modules. That allowed the arsenal of techniques developedfor the study of semisimple algebras as well as the language and machineryof homological algebra and category theory to be applied to representationtheory. Using these, the theory grew rapidly over the past thirty years.
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