Corrigendum to “Duals of pointed Hopf algebras” [J. Algebra 262 (2003) 54–76]

Journal of Algebra 320 (2008) 3849

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Corrigendum

Corrigendum to “Duals of pointed Hopf algebras” [J. Algebra 262 (2003) 54–76] M. Beattie 1 Department of Mathematics and Computer Science, Mount Allison University, Sackville, N.B., Canada E4L 1E6

Table 2 in Section 4.2 of [1] should appear as below. Table 2 is as in the original except that the entries in column 6, rows 2 and 3 have been corrected. The updated version of this paper has also been posted at http://arxiv.org/abs/math/0202091. Table 2 G ( Ai )

Vi

Ai

A ∗i

corad( A ∗i )

C8

(c , c ∗4 )

I1

Theorem 3.3

k [C 2 ] ⊕

C4 × C2

(c , c ∗2 )

I1

Theorem 3.3

A7

C4 × C2

(cd, d∗ )

I1

Theorem 3.3

Mc (2, k) 2 k[C 2 × C 2 ] ⊕ i =1 Mc (2, k) 2 k[C 2 × C 2 ] ⊕ i =1 Mc (2, k)

A 14,1

C4

(c , c ∗2 ), (c , c ∗2 )

D

Corollary 3.5

k[C 2 ] ⊕ Mc (2, k)

A 14,2

C4

(c , c ∗2 ), (c , c ∗2 )

I2

Example 4.4

k [C 2 ] ⊕

A 16,1

C4

(c , c ∗2 ), (c 3 , c ∗2 )

D

Corollary 3.5

k[C 2 ] ⊕ M (2, k)

A 16,2

C4

(c , c ∗2 ), (c 3 , c ∗2 )

I2

Example 4.4

k [C 2 ] ⊕

A 20

C2 × C2

(c , c ∗ ), (cd, c ∗ )

E

Example 4.5

Ai A1 A5

References [1] M. Beattie, Duals of pointed Hopf algebras, J. Algebra 262 (2003) 54–76.

1

DOI of original article: 10.1016/S0021-8693(03)00034-6. E-mail address: [email protected]. Thanks to G. García and C. Vay for pointing out this error.

0021-8693/$ – see front matter © 2002 Elsevier Inc. All rights reserved. doi:10.1016/j.jalgebra.2008.09.008

3

i =1

2

i =1

Mc (2, k)

c

k [C 2 ] ⊕

2

i =1

Mc (2, k)

i =1

Mc (2, k)

2