Representation Theory: Selected Papers available in Paperback
- Pub. Date:
- Cambridge University Press
The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his co-workers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ends of the subject. Dr. G. Segal and Professor C-M. Ringel have written introductions to the papers which explain the background, put them in perspective and make them accessible to those with no specialist knowledge in the area.
Table of Contents
1. Two papers on representation theory G. Segal; 2. Representations of the group SL(2,R), where R is a ring of functions A. M. Vershik, I. M. Gelfand and M. I. Graev; 3. Representations of the group of diffeomorphisms A. M. Vershik, I. M. Gelfand and M. I. Graev; 4. An introduction to the paper 'Schubert cells and cohomology of the spaces G/P' G. Segal; 5. Schubert cells and cohomology of the spaces G/P I. N. Bernstein, I. M. Gelfand and S. I. Gelfand; 6. Four papers on problems in linear algebra C-M. Ringel; 7. Coxeter functions and Gabriel's theorem I. N. Bernstein, I. M. Gelfand and V. A. Ponomarev; 8. Free modular lattices and their representations I. M. Gelfand and V. A. Ponomarev; 9. Lattices, representations and algebras connected with them I I. M. Gelfand and V. A. Ponomarev; 10. Lattices, representations and algebras connected with them II I. M. Gelfand and V. A. Ponomarev.