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Group theory: Birdtracks, Lie’s, and exceptional groups

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This monograph offers a derivation of all classical and exceptional semisimple Lie algebras through a classification of “primitive invariants.” Using somewhat unconventional notation inspired by the Feynman diagrams of quantumfield theory, the invariant tensors are represented by diagrams; severe limits on what simple groups could possibly exist are deduced by requiring that irreducible representations be of integer dimension. The method provides the full Killing-Cartan list of all possible simple Lie algebras, but fails to prove the existence of F4, E6, E7 and E8.

Once you know how to answer such group-theoretical questions, you can answer many others. This monograph tells you how. Like the brain, it is divided into two halves: the plodding half and the interesting half.

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Informasi Detail

Judul Seri

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No. Panggil

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Penerbit

New Jersey : Princeton University Press., 2008

Deskripsi Fisik

QA174.2 .C85 - 512′ .2–dc22

Bahasa

English

ISBN/ISSN

9780691118369

Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

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