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Street R. — Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series)
Street R. — Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series)



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Название: Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series)

Автор: Street R.

Аннотация:

Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn the latest algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 161

Добавлена в каталог: 05.04.2014

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