000			03580nam a22005295i 4500
001			978-0-387-79066-4
003			DE-He213
005			20251006084420.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9780387790664
020			_a99780387790664
024	7		_a10.1007/978-0-387-79066-4 _2doi
082	0	4	_a512.2 _223
100	1		_aBorovik, Alexandre V. _eauthor.
245	1	0	_aMirrors and Reflections _h[electronic resource] / _cby Alexandre V. Borovik, Anna Borovik.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_aGeometric Background -- Affine Euclidean Space -- Isometries of -- Hyperplane Arrangements -- Polyhedral Cones -- Mirrors, Reflections, Roots -- Mirrors and Reflections -- Systems of Mirrors -- Dihedral Groups -- Root Systems -- Root Systems An?1, BCn, Dn -- Coxeter Complexes -- Chambers -- Generation -- Coxeter Complex -- Residues -- Generalized Permutahedra -- Classification -- Generators and Relations -- Classification of Finite Reflection Groups -- Construction of Root Systems -- Orders of Reflection Groups -- Three-Dimensional Reflection Groups -- Reflection Groups in Three Dimensions -- Icosahedron.
520			_aMirrors and Reflections presents an intuitive and elementary introduction to finite reflection groups. Starting with basic principles, this book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties. Unique to this text is its emphasis on the intuitive geometric aspects of the theory of reflection groups, making the subject more accessible to the novice. Primarily self-contained, necessary geometric concepts are introduced and explained. Principally designed for coursework, this book is saturated with exercises and examples of varying degrees of difficulty. An appendix offers hints for solving the most difficult problems. Wherever possible, concepts are presented with pictures and diagrams intentionally drawn for easy reproduction. Finite reflection groups is a topic of great interest to many pure and applied mathematicians. Often considered a cornerstone of modern algebra and geometry, an understanding of finite reflection groups is of great value to students of pure or applied mathematics. Requiring only a modest knowledge of linear algebra and group theory, this book is intended for teachers and students of mathematics at the advanced undergraduate and graduate levels.
650		0	_aMATHEMATICS.
650		0	_aGROUP THEORY.
650		0	_aMATRIX THEORY.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aGEOMETRY.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aGEOMETRY.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
700	1		_aBorovik, Anna. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387790657
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-79066-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59144 _d59144