Introduction to Complex Reflection Groups and Their Braid Groups

• Κύριος συγγραφέας: Broué, Michel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Lecture Notes in Mathematics, 1988
• Θέματα: Mathematics.; Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Commutative Rings and Algebras.; Associative Rings and Algebras.; Algebraic Topology.

Weyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial algebra. It has recently been discovered that complex reflection groups play a key role in the theory...

Πίνακας περιεχομένων:

• Preliminaries
• Prerequisites and Complements in Commutative Algebra
• Polynomial Invariants of Finite Linear Groups
• Finite Reflection Groups in Characteristic Zero
• Eigenspaces and Regular Elements.