Algebraic Groups and Lie Groups de G. I. Lehrer

Algebraic Groups and Lie Groups: A Volume of Papers in Honour of the Late R. W. Richardson: Australian Mathematical Society Lecture Series, cartea 9

G. I. Lehrer

en Limba Engleză Paperback – 22 ian 1997

This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometric, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz. connections between representation theory and the structure and geometry of algebraic groups. Particular topics addressed include Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert geometry, invariant theory and symmetry breaking. The theory of canonical bases and their geometric context is a theme of several of the contributions as is the orbit theory of algebraic group actions on affine varieties. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.

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Cuprins

1. Class functions, conjugacy classes and commutators in semisimple Lie theory A. Borel; 2. Curves and divisors in spherical varieties M. Brion; 3. The phylon group and statistics A. Carey, P. Jupp and M. K. Murray; 4. The span of the tangent cones of a Schubert variety J. Carrell; 5. Canonical bases, reduced words and Lusztig's piecewise-linear function R. Carter; 6. Geometric rationality of Satake compactifications W. A. Casselman; 7. Graded and non-graded Kazhdan-Lusztig theories E. Cline, B. Parshall and L. Scott; 8. Quantum Schubert cells and representations at roots of 1 C. de Concini and C. Procesi; 9. Purity and equivariant weight polynomials A. Dimca and G. Lehrer; 10. The restriction of the regular module for a quantum group S. Donkin; 11. On coefficients in Kazhdan-Lusztig polynomials M. Dyer; 12. Spectral estimates for positive Rocklands operators A. F. M. Ter Elst and D. W. Robinson; 13. Factorization of certain exponentials in Lie groups C. K. Fan and G. Lusztig; 14. Symmetry breaking for equivariant maps M. Field; 15. Low dimensional representations of reductive groups J. C. Jantzen; 16. Grosses cellules pour les variétés sphériques D. Luna; 17. Total positivity and canonical bases G. Lusztig; 18. On the number of orbits of a parabolic subgroup on its unipotent radical V. Popov and G. Röhrle; 19. On a homomorphism of Harish-Chandra G. W. Schwarz; 20. Two notes on a finiteness problem in the representation theory of finite groups P. Slodowy; 21. A description of B-orbits on symmetric varieties T. A. Springer; 22. Nagata's example R. Steinberg.