THE SCHEME OF CHARACTERS IN SL2

被引：0
|
作者：
Heusener, Michael [1 ]
Porti, Joan [2 ,3 ]
机构：
[1] Univ CLERMONT AUVERGNE, CNRS, Lab Math BLAISE PASCAL, FERRAND, F-63000 Clermont ferrand, France
[2] Univ Autonoma Barcelona, Dept Matematiques, CERDA, Barcelona 08193, Spain
[3] Ctr Recerca Matemat Crm, Barcelona, Spain
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 376卷 / 09期
关键词：
Representation variety; character variety; CONE STRUCTURES; REPRESENTATIONS; VARIETIES;
D O I：
10.1090/tran/8910
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this article is to study the SL2(C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group I', we give equations defining the coordinate ring of the scheme of SL2(C)- characters of I' (finitely many equations when I' is finitely presented). We also study the scheme of abelian and non-simple representations and characters. Finally we apply our results to study the SL2(C)-character scheme of the Borromean rings.
引用
收藏
页码：6283 / 6313
页数：31
相关论文
共 50 条
  • [1] Linear characters of SL2 over Dedekind domains
    Boylan, Hatice
    Skoruppa, Nils-Peter
    JOURNAL OF ALGEBRA, 2013, 373 : 120 - 129
  • [2] Estimating a skein module with SL2(C) characters
    Bullock, D
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (06) : 1835 - 1839
  • [3] On the security of the hashing scheme based on SL2
    Abdukhalikov, KS
    Kim, C
    FAST SOFTWARE ENCRYPTION, 1998, 1372 : 93 - 102
  • [4] Cohomological finite generation for the group scheme SL2
    van der Kallen, Wilberd
    JOURNAL OF ALGEBRA, 2013, 390 : 216 - 220
  • [5] Weaknesses in the SL2(IF2n) hashing scheme
    Steinwandt, R
    Grassl, M
    Geiselmann, W
    Beth, T
    ADVANCES IN CRYPTOLOGY-CRYPTO 2000, PROCEEDINGS, 2000, 1880 : 287 - 299
  • [6] On two-generator subgroups in SL2(Z), SL2(Q), and SL2(R)
    Chorna, Anastasiia
    Geller, Katherine
    Shpilrain, Vladimir
    JOURNAL OF ALGEBRA, 2017, 478 : 367 - 381
  • [7] Rings of SL2(C)-characters and the Kauffman bracket skein module
    Bullock, D
    COMMENTARII MATHEMATICI HELVETICI, 1997, 72 (04) : 521 - 542
  • [8] Supercuspidal characters of SL2 over a p-adic field
    Adler, Jeffrey D.
    DeBacker, Stephen
    Sally, Paul J., Jr.
    Spice, Loren
    HARMONIC ANALYSIS ON REDUCTIVE, P-ADIC GROUPS, 2011, 543 : 19 - +
  • [9] Short (SL2 x SL2)-structures on Lie algebras
    Beites, Patricia D.
    Cordova-Martinez, Alejandra S.
    Cunha, Isabel
    Elduque, Alberto
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (02)
  • [10] An embedding of the universal Askey-Wilson algebra into Uq(sl2) ⊗ Uq(sl2) ⊗ Uq(sl2)
    Huang, Hau-Wen
    NUCLEAR PHYSICS B, 2017, 922 : 401 - 434
12345