On Hopf algebras with nonzero integral

被引：5

作者：

Cuadra, J. ^{[1
]}

机构：

[1] Univ Almeria, Dept Algebra & Anal Matemat, E-04120 Almeria, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 06期

关键词：

coradical filtration; Hopf algebra; integral;

D O I：

10.1080/00927870600549642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

\ Andruskiewitsch and Dascalescu (2003) conjectured that any co-Frobenius Hopf algebra has finite coradical filtration. In this paper we provide two conditions under which this conjecture is true. One of these conditions is used to prove that the conjecture holds for the Hopf algebra of rational functions of an algebraic group with integral over a perfect field.

引用

页码：2143 / 2156

页数：14

共 50 条

[1] On two finiteness conditions for Hopf algebras with nonzero integral
Andruskiewitsch, Nicolas
Cuadra, Juan
Etingof, Pavel
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2015, 14 (02) : 401 - 440
[2] FINITENESS CONDITIONS FOR A HOPF ALGEBRA WITH A NONZERO INTEGRAL
RADFORD, DE
[J]. JOURNAL OF ALGEBRA, 1977, 46 (01) : 189 - 195
[3] Homological integral of HOPF algebras
Lu, D.-M.
Wu, Q.-S.
Zhang, J. J.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (10) : 4945 - 4975
[4] UNIQUENESS OF INTEGRALS FOR HOPF ALGEBRAS AND SOME EXISTENCE THEOREMS OF INTEGRAL FOR COMMUTATIVE HOPF ALGEBRAS
SULLIVAN, JB
[J]. JOURNAL OF ALGEBRA, 1971, 19 (03) : 426 - &
[5] HOPF ALGEBRAS OF ENDOMORPHISMS OF HOPF ALGEBRAS
Hazewinkel, Michiel
[J]. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2008, 33 (2C): : 239 - 272
[6] Cofree Hopf algebras on Hopf bimodule algebras
Fang, Xin
Jian, Run-Qiang
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (09) : 3913 - 3930
[7] Weak Hopf algebras I.: Integral theory and C*-structure
Böhm, G
Nill, F
Szlachányi, K
[J]. JOURNAL OF ALGEBRA, 1999, 221 (02) : 385 - 438
[8] STRUCTURE THEOREMS FOR BICOMODULE ALGEBRAS OVER QUASI-HOPF ALGEBRAS, WEAK HOPF ALGEBRAS, AND BRAIDED HOPF ALGEBRAS
Dello, Jeroen
Panaite, Florin
Van Oystaeyen, Freddy
Zhang, Yinhuo
[J]. COMMUNICATIONS IN ALGEBRA, 2016, 44 (11) : 4609 - 4636
[9] Hopf algebras for ternary algebras
Goze, M.
de Traubenberg, M. Rausch
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (06)
[10] Centrification of algebras and Hopf algebras
Rumynin, Dmitriy
Westaway, Matthew
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (01): : 155 - 169

← 1 2 3 4 5 →