Record ID | ia:representationso0000lmsd |
Source | Internet Archive |
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LEADER: 07202cam 2201033Ka 4500
001 ocn839546928
003 OCoLC
005 20200725004126.0
008 130416s1986 enka ob 100 0 eng d
006 m o d
007 cr cnu---unuuu
010 $z 86021593
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019 $a797839567$a1162212006
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035 $a(OCoLC)839546928$z(OCoLC)797839567$z(OCoLC)1162212006
050 4 $aQA150$b.L67 1986eb
072 7 $aMAT$x014000$2bisacsh
082 04 $a512/.2$222
111 2 $aLMS Durham Symposium$d(1985)
245 10 $aRepresentations of algebras :$bproceedings of the Durham Symposium, 1985 /$cedited by P. Webb.
260 $aCambridge [Cambridgeshire] ;$aNew York :$bCambridge University Press,$c©1986.
300 $a1 online resource (199 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aLondon Mathematical Society lecture note series ;$v116
504 $aIncludes bibliographical references.
588 0 $aPrint version record.
520 $aIn this book the latest developments in representation theory are surveyed in a series of expository articles based on lectures given at the 1985 LMS Durham Symposium on representations of algebras. The emphasis is on the representation type of finite-dimensional algebras. Topics covered include almost split sequences, the theory of tubes, tilting functions, hammocks, and triangulated categories. There are also papers on the representation type of local rings of singularities, and on recent results in the modular representation theory of finite groups. All the articles are designed to be self contained and should be a useful aid to someone wishing to bring themselves up to date in the subject.
505 0 $aCover; Title; copyright; Contents; Introduction; Representation theory of finite-dimensional algebras; LECTURE 1 : THE AUSLANDER-REITEN QUIVER; LECTURE 2 : SEPARATING SUBCATEGORIES: CONNECTING COMPONENTS AND SEPARATING TUBULAR FAMILIES; LECTURE 3 : REPETITIVE ALGEBRAS; References; A survey of existence theorems for almost split sequences; References; Representations of posets and tame matrix problems; 1. The theory of matrix problems can be considered in a natural; 2. Posets of finite type; 3. Tame schurian categories; Literature; Geometry of representations of quivers; INTRODUCTION
505 8 $a1. QUIVERS AND REPRESENTATIONS2. THE REPRESENTATION SPACE OF A QLIVER; 3. THE FUNDAMENTAL SET; 4. INDECOMPOSABLES AND ROOT SYSTEMS; 5. PROOF OF THE FUNDAMENTAL LEMMA; REFEBENCES; Cohen-Macaulay modules on hypersurface singularities; 1. SIMPLE HYPERSURFACE SINGULARITIES; 1.1 Notation; 1.2 Families of Hypersurface Singularities; 1.3 The Classification of Simple Singularities; 2. HYPERSURFACE SINGULARITIES OF DIMENSION ONE AND TWO; 2.1 Maximal Cohen-Macaulay Modules; 2.2 Group Representations; 2.3 Vectorbundles on the Desingularisation; 2.4 Simple Plane Curve Singularities
505 8 $a3. HYPERSURFACE SINGULARITIES OF FINITE COHEN-MACAULAY TYPE3.1 Matrix Factorisations; 3.2 Double branched Covers; 3.3 Constructing Families of MCM's; 4. Miscellaneous Remarks; REFERENCES; Almost split sequences and algebraic geometry; 1. Complete rational double points; 2. Protective curves; 3. Finite Cohen-Macaulay type; References; Representation rings of finite groups; Preface; FIRST LECTURE : Nilpotent elements in representation rings; 1. TENSOR PRODUCTS; 2. ALMOST SPLIT SEQUENCES; 3. NILPOTENT ELEMENTS IN A(G); 4. COHOMOLOGICAL CONSTRUCTION OF NILPOTENT ELEMENTS
505 8 $aSECOND LECTURE : VARIETIES FOR MODULES : A SAMPLE CALCULATION1. Definitions and basic properties; 2. Cohomology of the dihedral two-groups; 3. MODULES FOR THE DIHEDRAL TWO-GROUPS; 4. THE VARIETIES FOR THE INDECOMPOSABLE kD2n -MODULES; REFERENCES
546 $aEnglish.
650 0 $aRepresentations of algebras$vCongresses.
650 6 $aReprésentations d'algèbres$xCongrès.
650 7 $aMATHEMATICS$xGroup Theory.$2bisacsh
650 7 $aRepresentations of algebras.$2fast$0(OCoLC)fst01094934
650 7 $aDarstellungstheorie$2gnd
650 7 $aAlgebra$2gnd
650 7 $aKongress$2gnd
650 7 $aTeoria das representações (congressos)$2larpcal
650 7 $aReprésentations d'algèbres$xCongrès.$2ram
650 07 $aDarstellungstheorie.$2swd
650 07 $aAlgebra.$2swd
650 07 $aKongress.$2swd
655 0 $aElectronic books.
655 4 $aElectronic books.
655 7 $aConference papers and proceedings.$2fast$0(OCoLC)fst01423772
700 1 $aWebb, P.
776 08 $iPrint version:$aLMS Durham Symposium (1985).$tRepresentations of algebras.$dCambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986$z0521312884$w(DLC) 86021593$w(OCoLC)14165489
830 0 $aLondon Mathematical Society lecture note series ;$v116.
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856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/toc/cam027/86021593.html
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht002819995.pdf
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/description/cam023/86021593.html
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