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 ...
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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.
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Seller's Description:
New. C. Trade paperback (US). 302 p. Australian Mathematical Society Lecture Series . Worked examples or Exercises; 12 Tables, unspecified. Intended for professional and scholarly audience.
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Seller's Description:
New. Trade paperback (US). Contains: Tables, Unspecified. Australian Mathematical Society Lecture Series . 12 tables 110 exercises. Intended for professional and scholarly audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Contains: Tables, Unspecified. Australian Mathematical Society Lecture Series . 12 tables 110 exercises. Intended for professional and scholarly audience.
