Iyama, Osamu - Graduate School of Mathematics, Nagoya University

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Iyama, Osamu - Graduate School of Mathematics, Nagoya University

Auslander-Reiten Auslander-Reiten(=AR) . AR ,
Stable categories of preprojective algebras and cluster categories Osamu Iyama
) Auslander 1 Auslander-Reiten 5
Auslander-Reiten (1) M. Auslander, Coherent functors, 1966,
Mathematisches Forschungsinstitut Oberwolfach Report No. 8/2006
d-Calabi-Yau algebras and d-cluster tilting subcategories Osamu Iyama
Stable categories of Cohen-Macaulay modules and cluster categories Osamu Iyama
Cluster tilting in 2-Calabi-Yau categories II Osamu Iyama
AUSLANDER-REITEN Auslander , [AR2]
, ;0 3Q 7w $d40A47w $K$* $1 $k n-%/ %i %9 %? !< 79
] $N 8& 5f $, @9 $s $G$" $k. H/C<$O Caldero-Chapoton-Schiffler [CCS] $* $h$S Buan-Marsh-Reiten-Reineke-Todorov [BMRRT]
Auslander-Reiten k 0 , G SLd(k) . S k[[x1, , xd]]
1. Auslander-Reiten 1 Auslander-Reiten
X X1 X2 X1 = 0 X2 = 0 (Krull-Schmidt)
, 2007 2 21 , Auslander-Reiten(=AR) . AR ,
Mathematisches Forschungsinstitut Oberwolfach Report No. 6/2005
INTRODUCTION TO CLUSTER TILTING IN 2-CALABI-YAU CATEGORIES OSAMU IYAMA
ON SELFINJECTIVE ALGEBRAS OF STABLE DIMENSION ZERO MICHIO YOSHIWAKI
e-mail: iyama@math.nagoya-u.ac.jp http://www.okayama-u.ac.jp/jp/tsushima j.html
Sunday September 25 8:409:30 Dan Zacharia (Syracuse University)
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