Unitary Reflection Groups.(Australian Mathematical Society Lecture Ser Vol. 20) paper 305 p., 12 tables. 110 exercises.
Lehrer, Gustav I., Taylor, Donald E. 著
内容
目次
Introduction; 1. Preliminaries; 2. The groups G(m, p, n); 3. Polynomialinvariants; 4. Poincare series and characterisations of reflection groups; 5.Quaternions and the finite subgroups of SU2(C); 6. Finite unitary reflectiongroups of rank two; 7. Line systems; 8. The Shepherd and Todd classification;9. The orbit map, harmonic polynomials and semi-invariants; 10. Covariantsand related polynomial identities; 11. Eigenspace theory and reflectionsubquotients; 12. Reflection cosets and twisted invariant theory; A. Somebackground in commutative algebra; B. Forms over finite fields; C.Applications and further reading; D. Tables; Bibliography; Index of notation;Index.
