A Survey of Hopf Algebras of Low Dimension

被引:8
作者
Beattie, Margaret [1 ]
机构
[1] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
关键词
Hopf algebras; CORADICAL FILTRATION; SEMISIMPLE; ORDER; CLASSIFICATION; PQ;
D O I
10.1007/s10440-008-9367-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This short survey is based on a talk on the classification of finite dimensional Hopf algebras given at Memorial University of Newfoundland in St. John's in May of 2008. This seminar was given in conjunction with the mini-course "Introduction to pointed Hopf algebras" offered by Professor Nicolas Andruskiewitsch which concentrated on classification methods and results for the pointed case. Here we will outline some low dimensional classifications for the general case.
引用
收藏
页码:19 / 31
页数:13
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共 76 条
  • [1] Notes on extensions of Hopf algebras
    Andruskiewitsch, N
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1996, 48 (01): : 3 - 42
  • [2] Andruskiewitsch N, 2002, MATH SCI R, V43, P1
  • [3] Hopf algebras of order p2 and braided Hopf algebras of order p
    Andruskiewitsch, N
    Schneider, HJ
    [J]. JOURNAL OF ALGEBRA, 1998, 199 (02) : 430 - 454
  • [4] Lifting of quantum linear spaces and pointed Hopf algebras of order p3
    Andruskiewitsch, N
    Schneider, HJ
    [J]. JOURNAL OF ALGEBRA, 1998, 209 (02) : 658 - 691
  • [5] ANDRUSKIEWITSCH N, COMPOS MATH IN PRESS
  • [6] ANDRUSKIEWITSCH.N, 2001, TSUKUBA J MATH, V25, P178
  • [7] ANDRUSKIEWITSCH N, 2006, ANN MATH IN PRESS
  • [8] ANDRUSKIEWITSCH N, ARXIV08033486V1MATHQ
  • [9] Andruskiewitsch N., 2002, CONT MATH, V294, P1
  • [10] Andruskiewitsch Nicolás, 2007, Rev. Unión Mat. Argent., V48, P57