Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition by Gustav I. Lehrer (PDF)

Description

A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or arrangement of mirrors. This book gives a complete classification of all groups of transformations of n-dimensional complex space which are generated by complex reflections, using the method of line systems. In particular: irreducible groups are studied in detail, and are identified with finite linear groups; reflection subgroups of reflection groups are completely classified; the theory of eigenspaces of elements of reflection groups is discussed fully; an appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

⭐

⭐

Keywords

Free Download Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition in PDF format
Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition PDF Free Download
Download Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition 2009 PDF Free
Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition 2009 PDF Free Download
Download Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition PDF
Free Download Ebook Unitary Reflection Groups (Australian Mathematical Society Lecture Series Book 20) 1st Edition