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Книга содержит изложение теории представлений компактных групп Ли и родственных структур, в том числе полупростых комплексных групп и алгебр Ли. Центральное место в теории занимает известная теорема Петера– Вейля о рядах Фурье на компактных группах, ассоциированных с неприводимыми (конечномерными) представлениями этих групп. Значительное место в книге уделяется конкретному описанию неприводимых представлений простых компактных групп Ли. Изложение, выдержанное по правилу «от простого к сложному», позволяет читателю эффективно и быстро овладеть основами теории представлений. Для студентов и аспирантов физико-математических специальностей. Первое издание книги вышло в 1970 году.
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Год назад • Иван Ушаков • Куплен на Маркете
Достоинства: Хорошая книжка по представлениям, приятно читать. Быстро и понятно ставит задачи, которые должны быть решены, откуда они возникают и прочее. Комментарий: Судя по предисловию, книжка больше для физиков — на жаргоне это, по всей видимости, значит, что меньше доказательств, больше примеров и приложений. С другой стороны, если сам заполняешь пробелы в доказательствах, примерах, то лучше понимаешь предмет. На крайний случай теория представлений конечномерных алгебр, групп Ли хорошо изучена, поэтому можно поискать в сети недостающие моменты.
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