Gustav I. Lehrer is a Professor in the School of Mathematics and Statistics at the University of Sydney. Donald E. Taylor is an Associate Professor in the School of Mathematics and Statistics at the University of Sydney.

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• Introduction; 1. Preliminaries; 2. The groups G(m, p, n); 3. Polynomial invariants; 4. Poincaré series and characterisations of reflection groups; 5. Quaternions and the finite subgroups of SU2(C); 6. Finite unitary reflection groups of rank two; 7. Line systems; 8. The Shepherd and Todd classification; 9. The orbit map, harmonic polynomials and semi-invariants; 10. Covariants and related polynomial identities; 11. Eigenspace theory and reflection subquotients; 12. Reflection cosets and twisted invariant theory; A. Some background in commutative algebra; B. Forms over finite fields; C. Applications and further reading; D. Tables; Bibliography; Index of notation; Index.

Gustav I. Lehrer is a Professor in the School of Mathematics and Statistics at the University of Sydney. Donald E. Taylor is an Associate Professor in the School of Mathematics and Statistics at the University of Sydney.

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• Introduction; 1. Preliminaries; 2. The groups G(m, p, n); 3. Polynomial invariants; 4. Poincaré series and characterisations of reflection groups; 5. Quaternions and the finite subgroups of SU2(C); 6. Finite unitary reflection groups of rank two; 7. Line systems; 8. The Shepherd and Todd classification; 9. The orbit map, harmonic polynomials and semi-invariants; 10. Covariants and related polynomial identities; 11. Eigenspace theory and reflection subquotients; 12. Reflection cosets and twisted invariant theory; A. Some background in commutative algebra; B. Forms over finite fields; C. Applications and further reading; D. Tables; Bibliography; Index of notation; Index.

Gustav I. Lehrer is a Professor in the School of Mathematics and Statistics at the University of Sydney. Donald E. Taylor is an Associate Professor in the School of Mathematics and Statistics at the University of Sydney.

Select Guide Rating

• Introduction; 1. Preliminaries; 2. The groups G(m, p, n); 3. Polynomial invariants; 4. Poincaré series and characterisations of reflection groups; 5. Quaternions and the finite subgroups of SU2(C); 6. Finite unitary reflection groups of rank two; 7. Line systems; 8. The Shepherd and Todd classification; 9. The orbit map, harmonic polynomials and semi-invariants; 10. Covariants and related polynomial identities; 11. Eigenspace theory and reflection subquotients; 12. Reflection cosets and twisted invariant theory; A. Some background in commutative algebra; B. Forms over finite fields; C. Applications and further reading; D. Tables; Bibliography; Index of notation; Index.