Harmonic Analysis on Homogeneous Spaces Lorentz and Einstein Contractions

Lorentz and Einstein Contractions

turbulent sixties

to reconstruct the ideas

the magic cloaks that make their wearers invisible—these elements stirred the imagination of our parents and ourselves

Harmonic Analysis on Homogeneous Spaces Lorentz and Einstein ContractionsThis book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector bundles, and Bott's index theorem