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Constructing pointed Hopf algebras by ore extensions
被引:70
作者
:
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Beattie, M
[
1
]
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Dascalescu, S
Grünenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Grünenfelder, L
机构
:
[1]
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
[2]
Univ Bucharest, Fac Math, RO-70109 Bucharest 1, Romania
[3]
Dalhousie Univ, Dept Math Stat & Comp Sci, Halifax, NS B3H 3J5, Canada
来源
:
JOURNAL OF ALGEBRA
|
2000年
/ 225卷
/ 02期
基金
:
加拿大自然科学与工程研究理事会;
关键词
:
D O I
:
10.1006/jabr.1999.8148
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We present a general construction producing pointed co-Frobenius Hopf algebras and give some classification results for the examples obtained. (C) 2000 Academic Press.
引用
收藏
页码:743 / 770
页数:28
相关论文
共 24 条
[1]
Abe E., 1977, Hopf Algebras
[2]
Lifting of quantum linear spaces and pointed Hopf algebras of order p3
[J].
Andruskiewitsch, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nacl Cordoba, FAMAF, RA-5000 Cordoba, Argentina
Andruskiewitsch, N
;
Schneider, HJ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nacl Cordoba, FAMAF, RA-5000 Cordoba, Argentina
Schneider, HJ
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:658
-691
[3]
On the number of types of finite dimensional Hopf algebras
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Dascalescu, S
;
Grünenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Grünenfelder, L
.
INVENTIONES MATHEMATICAE,
1999,
136
(01)
:1
-7
[4]
Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Dascalescu, S
;
Grunenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Grunenfelder, L
;
Nastasescu, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Nastasescu, C
.
JOURNAL OF ALGEBRA,
1998,
200
(01)
:312
-333
[5]
On pointed Hopf algebras of dimension pn
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Dascalescu, S
;
Grünenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Grünenfelder, L
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
128
(02)
:361
-367
[6]
On pointed Hopf algebras of dimension 2n
[J].
Caenepeel, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Brussels, VUB, Fac Sci Appl, B-1050 Brussels, Belgium
Caenepeel, S
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Brussels, VUB, Fac Sci Appl, B-1050 Brussels, Belgium
Dascalescu, S
.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
1999,
31
:17
-24
[7]
Pointed Hopf algebras of dimension p3
[J].
Caenepeel, S
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Caenepeel, S
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Dascalescu, S
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:622
-634
[8]
CAENEPEEL S, IN PRESS COMM ALGEBR, V28
[9]
On pointed ribbon Hopf algebras
[J].
Gelaki, S
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Math. and Computer Science, Ben Gurion University of the Negev, Beer Sheva
Gelaki, S
.
JOURNAL OF ALGEBRA,
1996,
181
(03)
:760
-786
[10]
Pointed Hopf algebras and Kaplansky's 10th conjecture
[J].
Gelaki, S
论文数:
0
引用数:
0
h-index:
0
机构:
Harvard Univ, Dept Math, Cambridge, MA 02138 USA
Harvard Univ, Dept Math, Cambridge, MA 02138 USA
Gelaki, S
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:635
-657
←
1
2
3
→
共 24 条
[1]
Abe E., 1977, Hopf Algebras
[2]
Lifting of quantum linear spaces and pointed Hopf algebras of order p3
[J].
Andruskiewitsch, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nacl Cordoba, FAMAF, RA-5000 Cordoba, Argentina
Andruskiewitsch, N
;
Schneider, HJ
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nacl Cordoba, FAMAF, RA-5000 Cordoba, Argentina
Schneider, HJ
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:658
-691
[3]
On the number of types of finite dimensional Hopf algebras
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Dascalescu, S
;
Grünenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Grünenfelder, L
.
INVENTIONES MATHEMATICAE,
1999,
136
(01)
:1
-7
[4]
Finiteness conditions, co-Frobenius Hopf algebras, and quantum groups
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Dascalescu, S
;
Grunenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Grunenfelder, L
;
Nastasescu, C
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E0A 3C0, Canada
Nastasescu, C
.
JOURNAL OF ALGEBRA,
1998,
200
(01)
:312
-333
[5]
On pointed Hopf algebras of dimension pn
[J].
Beattie, M
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Beattie, M
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Dascalescu, S
;
Grünenfelder, L
论文数:
0
引用数:
0
h-index:
0
机构:
Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L 1E6, Canada
Grünenfelder, L
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2000,
128
(02)
:361
-367
[6]
On pointed Hopf algebras of dimension 2n
[J].
Caenepeel, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Brussels, VUB, Fac Sci Appl, B-1050 Brussels, Belgium
Caenepeel, S
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Brussels, VUB, Fac Sci Appl, B-1050 Brussels, Belgium
Dascalescu, S
.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
1999,
31
:17
-24
[7]
Pointed Hopf algebras of dimension p3
[J].
Caenepeel, S
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Caenepeel, S
;
Dascalescu, S
论文数:
0
引用数:
0
h-index:
0
机构:
Free Univ Brussels, Fac Sci Appl, B-1050 Brussels, Belgium
Dascalescu, S
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:622
-634
[8]
CAENEPEEL S, IN PRESS COMM ALGEBR, V28
[9]
On pointed ribbon Hopf algebras
[J].
Gelaki, S
论文数:
0
引用数:
0
h-index:
0
机构:
Dept. of Math. and Computer Science, Ben Gurion University of the Negev, Beer Sheva
Gelaki, S
.
JOURNAL OF ALGEBRA,
1996,
181
(03)
:760
-786
[10]
Pointed Hopf algebras and Kaplansky's 10th conjecture
[J].
Gelaki, S
论文数:
0
引用数:
0
h-index:
0
机构:
Harvard Univ, Dept Math, Cambridge, MA 02138 USA
Harvard Univ, Dept Math, Cambridge, MA 02138 USA
Gelaki, S
.
JOURNAL OF ALGEBRA,
1998,
209
(02)
:635
-657
←
1
2
3
→