000			03602cam a2200517Ia 4500
001			ocn428101396
003			OCoLC
005			20141103172226.0
006			m o d
007			cr cnu---unuuu
008			090728s1994 ne ob 001 0 eng d
040			_aOPELS _beng _epn _cOPELS _dN$T _dOCLCQ _dEBLCP _dIDEBK _dOCLCQ _dOPELS _dOCLCF _dOCLCQ
020			_a9780080872919 (electronic bk.)
020			_a0080872913 (electronic bk.)
029	1		_aAU@ _b000050767462
029	1		_aDEBSZ _b407396624
029	1		_aNZ1 _b15193590
035			_a(OCoLC)428101396
050		4	_aQA176 _b.K37eb vol. 3
072		7	_aMAT _x014000 _2bisacsh
082	0	4	_a512/.2 _222
049			_aTEFA
100	1		_aKarpilovsky, Gregory, _d1940-
245	1	0	_aGroup representations. _nVolume 3 _h[electronic resource] / _cGregory Karpilovsky.
260			_aAmsterdam ; _aLondon : _bNorth-Holland, _c1980.
300			_a1 online resource (xv, 907 pages).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNorth-Holland mathematics studies ; _v180
504			_aIncludes bibliographical references (pages 849-891) and index.
505	0		_apt. 1. Protective characters. Chapter 1. An Invitation to projective characters ; Chapter 2. Clifford theory for projective characters ; Chapter 3. Correspondences for projective characters ; Chapter 4. Generalized projective characters ; Chapter 5. Projective character tables -- pt. 2. Protective representations II. Chapter 6. Splitting fields ; Chapter 7. Projective Schur index ; Chapter 8. Projective representations of Abelian Groups -- pt. 3. Group-graded algebras. Chapter 9. Graded modules ; Chapter 10. Clifford theory for graded algebras : restriction and induction ; Chapter 11. Clifford theory for graded algebras : extensions of modules ; Chapter 12. Clifford theory for group algebras ; Chapter 13. Graded group rings -- pt. 4. The Schur index. Chapter 14. Foundations of the theory -- Chapter 15. Main theorems -- Bibliography -- Notation -- Index.
520			_aThis third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations of abelian groups are covered. The last topic is investigated by introducing a symplectic geometry on finite abelian groups. The second part is devoted to Clifford theory for graded algebras and its application to the corresponding theory for group algebras. The volume ends with a detailed investigation of the Schur index for ordinary representations. A prominant role is played in the discussion by Brauer groups together with cyclotomic algebras and cyclic algebras.
588	0		_aPrint version record.
650		0	_aRepresentations of groups.
650		7	_aMATHEMATICS _xGroup Theory. _2bisacsh
650		7	_aRepresentations of groups. _2fast _0(OCoLC)fst01094938
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKarpilovsky, Gregory, 1940- _tGroup representations. Volume 3. _dAmsterdam ; London : North-Holland, 1980 _z9780444874337 _w(OCoLC)30111215
830		0	_aNorth-Holland mathematics studies ; _v180.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444874337
938			_aEBL - Ebook Library _bEBLB _nEBL453153
938			_aEBSCOhost _bEBSC _n297239
942			_cEB
994			_aC0 _bTEF
999			_c21864 _d21864