000			02937nam a22005055i 4500
001			978-3-642-11175-4
003			DE-He213
005			20140220084530.0
007			cr nn 008mamaa
008			100301s2010 gw | s |||| 0|eng d
020			_a9783642111754 _9978-3-642-11175-4
024	7		_a10.1007/978-3-642-11175-4 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aBroué, Michel. _eauthor.
245	1	0	_aIntroduction to Complex Reflection Groups and Their Braid Groups _h[electronic resource] / _cby Michel Broué.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXI, 138p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1988
505	0		_aPreliminaries -- Prerequisites and Complements in Commutative Algebra -- Polynomial Invariants of Finite Linear Groups -- Finite Reflection Groups in Characteristic Zero -- Eigenspaces and Regular Elements.
520			_aWeyl 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 of finite reductive groups, giving rise as they do to braid groups and generalized Hecke algebras which govern the representation theory of finite reductive groups. It is now also broadly agreed upon that many of the known properties of Weyl groups can be generalized to complex reflection groups. The purpose of this work is to present a fairly extensive treatment of many basic properties of complex reflection groups (characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, etc.) including the basic findings of Springer theory on eigenspaces. In doing so, we also introduce basic definitions and properties of the associated braid groups, as well as a quick introduction to Bessis' lifting of Springer theory to braid groups.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aGroup theory.
650		0	_aAlgebraic topology.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aCommutative Rings and Algebras.
650	2	4	_aAssociative Rings and Algebras.
650	2	4	_aAlgebraic Topology.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642111747
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1988
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-11175-4
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c111802 _d111802