Publisher: Cambridge University Press (September 13, 1998)
Format: PDF / Kindle / ePub
Size: 5.4 MB
Downloadable formats: PDF
Now in paperback, this e-book offers a self-contained advent to the cohomology idea of Lie teams and algebras and to a couple of its purposes in physics. No past wisdom of the mathematical idea is believed past a few notions of Cartan calculus and differential geometry (which are however reviewed within the ebook in detail). The examples, of present curiosity, are meant to elucidate sure mathematical facets and to teach their usefulness in actual difficulties. the themes handled comprise the differential geometry of Lie teams, fiber bundles and connections, attribute periods, index theorems, monopoles, instantons, extensions of Lie teams and algebras, a few purposes in supersymmetry, Chevalley-Eilenberg method of Lie algebra cohomology, symplectic cohomology, jet-bundle method of variational rules in mechanics, Wess-Zumino-Witten phrases, limitless Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This e-book might be of curiosity to graduate scholars and researchers in theoretical physics and utilized arithmetic.