[notes by Vyayanthi Sundar] [91 p. ; 24 cm.] (Lectures on mathematics and physics / Tata institute of fundamental research ; Mathematics ; 66) ontents : - Preface 1. Introduction and summary of results 2. The completion functors 3. Invariant pairings and forms 4. Lattices and the functor 5. Translation functors 6. Construction of irreducible admissible(g,t)-modules 7. Resolutions of irreducible admissible (g,t)-modules and t-multiplocity formulae 8. The principal series modules 9. The character formula forZ(λ) 10. Determination of the irreducible admissible(g,t)-modules 11. An application to highest weight modules 12. Concepts from homological algebra 13. The category of admissible(g,t)-modules 14. Preunitary pairings 15. Unitary representations and relative Lie algebra cohomology 16. Connections with the derived functors introduced by Zuckerman - Bibliography] [NUOVO (Brossura editoriale)]
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