Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic

被引:15
|
作者
Wang, Jing [1 ]
Heckenberger, Istvan [1 ]
机构
[1] Univ Marburg, FB Math & Informat, D-35032 Marburg, Germany
关键词
Nichols algebra; Cartan graph; Weyl groupoid; root system; COMPACT MATRIX PSEUDOGROUPS; POINTED HOPF-ALGEBRAS; QUANTUM GROUPS; ROOT SYSTEMS; WEYL GROUPOIDS;
D O I
10.3842/SIGMA.2015.011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
引用
收藏
页数:24
相关论文
共 50 条
  • [31] Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type
    Heckenberger, I.
    JOURNAL OF ALGEBRA, 2010, 323 (08) : 2130 - 2182
  • [32] Liftings of Nichols algebras of diagonal type II: all liftings are cocycle deformations
    Angiono, Ivan
    Iglesias, Agustin Garcia
    SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (01):
  • [33] Algebras of minimal rank over arbitrary fields
    Bläser, M
    STACS 2003, PROCEEDINGS, 2003, 2607 : 403 - 414
  • [34] Algebras of minimal rank over perfect fields
    Bläser, M
    17TH ANNUAL IEEE CONFERENCE ON COMPUTATIONAL COMPLEXITY, PROCEEDINGS, 2002, : 113 - 122
  • [35] A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
    Andruskiewitsch, Nicolas
    Angiono, Ivan
    Rossi Bertone, Fiorela
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2017, 24 (01) : 15 - 34
  • [36] Rank 2 Nichols algebras with finite arithmetic root system
    Heckenberger, I.
    ALGEBRAS AND REPRESENTATION THEORY, 2008, 11 (02) : 115 - 132
  • [37] Rank 2 Nichols Algebras with Finite Arithmetic Root System
    I. Heckenberger
    Algebras and Representation Theory, 2008, 11 : 115 - 132
  • [38] The classification of Nichols algebras over groups with finite root system of rank two
    Heckenberger, I.
    Vendramin, L.
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2017, 19 (07) : 1977 - 2017
  • [39] Nichols algebras over groups with finite root system of rank two I
    Heckenberger, I.
    Schneider, H-J
    JOURNAL OF ALGEBRA, 2010, 324 (11) : 3090 - 3114
  • [40] Nichols algebras over groups with finite root system of rank two III
    Heckenberger, I.
    Vendramin, L.
    JOURNAL OF ALGEBRA, 2015, 422 : 223 - 256