REPRESENTATION TYPE OF FINITE QUIVER HECKE ALGEBRAS OF TYPE Dl+1(2)

被引：11

作者：

Ariki, Susumu ^{[1
]}

Park, Euiyong ^{[2
]}

机构：

[1] Osaka Univ, Dept Pure & Appl Math, Grad Sch Informat Sci & Technol, Toyonaka, Osaka 5600043, Japan

[2] Univ Seoul, Dept Math, Seoul 130743, South Korea

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 368卷 / 05期

关键词：

CRYSTAL BASES; BISERIAL;

D O I：

10.1090/tran/6411

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an Erdmann-Nakano type theorem for the finite quiver Hecke algebras R-A0(beta) of affine type D-l+1((2)), which tells their representation type. If R-A0(beta) is not of wild representation type, we may compute its stable Auslander-Reiten quiver.

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收藏

页码：3211 / 3242

页数：32

相关论文

共 33 条

[1]

Adachi T., 2015, ARXIV150404827

[2] Representation Type of Finite Quiver Hecke Algebras of Type Al(1) for Arbitrary Parameters [J].

Ariki, Susumu ;

Iijima, Kazuto ;

Park, Euiyong .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (15) :6070-6135

[3] Representation type of finite quiver Hecke algebras of type A2l(2) [J].

Ariki, Susumu ;

Park, Euiyong .

JOURNAL OF ALGEBRA, 2014, 397 :457-488

[4] Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras [J].

Brundan, Jonathan ;

Kleshchev, Alexander .

INVENTIONES MATHEMATICAE, 2009, 178 (03) :451-484

[5] AUSLANDER-REITEN SEQUENCES WITH FEW MIDDLE TERMS AND APPLICATIONS TO STRING ALGEBRAS [J].

BUTLER, MCR ;

RINGEL, CM .

COMMUNICATIONS IN ALGEBRA, 1987, 15 (1-2) :145-179

[6] TAMENESS OF BISERIAL ALGEBRAS [J].

CRAWLEYBOEVEY, W .

ARCHIV DER MATHEMATIK, 1995, 65 (05) :399-407

[7]

Date E., 1982, Publ. Res. Inst. Math. Sci., V18, P1077, DOI [10.2977/prims/1195183297, DOI 10.2977/PRIMS/1195183297]

[8] GALOIS COVERINGS OF REPRESENTATION-INFINITE ALGEBRAS [J].

DOWBOR, P ;

SKOWRONSKI, A .

COMMENTARII MATHEMATICI HELVETICI, 1987, 62 (02) :311-337

[9] ON AUSLANDER-REITEN COMPONENTS OF BLOCKS AND SELF-INJECTIVE BISERIAL ALGEBRAS [J].

ERDMANN, K ;

SKOWRONSKI, A .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (01) :165-189

[10] Representation type of Hecke algebras of type A [J].

Erdmann, K ;

Nakano, DK .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (01) :275-285

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