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Mirrors and Reflections: The Geometry of Finite Reflection Groups

This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The;

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Unitary Reflection Groups

A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an;

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The Geometry and Topology of Coxeter Groups. (LMS-32)

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint;

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Groups, Combinatorics and Geometry

of research. This volume contains a collection of papers, both survey and research, arising from the 1990 Durham conference in which the excellent;

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Algebra - Representation Theory

illuminated their representation theory. The study of Hopf algebras and non-commutative geometry is another new branch of representation theory;

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Finite Geometries

different fields in finite geometry: classical finite geometry, the geometry of finite planes, geometric structures and the theory of translation;

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The Moral Mirror of Roman Art

This interdisciplinary study explores the meanings of mirrors and reflections in Roman art and society. When used as metaphors in Roman;

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Encyclopedia of Mathematics and its Applications Geometry of Sporadic Groups

associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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Polynomial Invariants of Finite Groups

essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and;

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3-Transposition Groups

as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This;

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Cambridge Tracts in Mathematics

as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This;

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Cambridge Tracts in Mathematics

as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This;

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Lie Groups and Lie Algebras

of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a;

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3-Transposition Groups

In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process;

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Classical Groups, Derangements and Primes

account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite;

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The Character Theory of Finite Groups of Lie Type

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive;

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On Quaternions and Octonions

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book;

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Commutative Ring Theory

Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory;

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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number;

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Mumford-Tate Groups and Domains

algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new;

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Mumford-Tate Groups and Domains

algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new;

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Finite Fields and their Applications

The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions;

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Noncommutative Geometry

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The;

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Inversive Geometry

This introduction to algebraic geometry makes particular reference to the operation of inversion and is suitable for advanced;

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Introductory Course In Commutative Algebra

combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which;

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Representations of Reductive Groups

algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra;

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