Corrections to the ATLAS of Brauer Characters



This is the list of known errors in the ATLAS of Brauer Characters.
We denote mathematical errors by ***. We use C to denote improvements concerning grammar or notational consistency. Changes are shown in order of appearance.


The Tables


***   p.   22   L3(3)   :   
In the 13 modular table, change 12A  12A to 12A  ∗.
***   p.   79-81   U3(5)   :   
In G.2, change 6C to 6D and 8B to 8C where applicable.
***   p.   108   S4(4)   :   
In G.4, insert fusion signs joining characters 3 and 4, 6 and 7, 9 to 12, 13 and 14.
***   p.   118   L3(7)   :   
Change D∗40 to D∗∗5.
C   p.   181   U5(2)   :   
Change chis to phis.
C   p.   186   L3(8)   :   
Rewrite y′63∗∗− z21∗10&17 to y′63∗∗+ z7. (Both expressions are equal.)
***               
In the third and fourth degree 511 rows of the 73 modular table, exchange the indicators °6 and °2 in G.3.
***   p.   204-205   L3(9)   :   
In the 7 modular table of G.21, change the indicator of the second degree 910 character from ++ to ++2. In the 13 modular table of G.23, change the indicator of the second degree 91 character from °° to °°2.
***   p.   206   U3(9)   :   
Change the value of the first degree 584 character on the class 5EF from ∗ to 2+b5∗.
***   p.   219   J3   :   
Swap the character values in G and 3.G on the classes 17A and 17B, and the character values in G.2 on the classes 34A and 34B.


Appendix 1


C   p.   284   :   
Add the entry w41∗3 | X3 + X2 + X | C5.
***   p.   286   :   
The entries for b29 and b29∗ must be as follows. b29 | X + 2 | C2, b29∗| 2 X | C2.
***   p.   288   :   
Replace y9∗∗ by y9∗2.


The number of changes of each type is as follows: 10 *** 3 C.

File created on 18 April 2000
Last modified: 30 May 2015 by Thomas Breuer



File translated from TEX by TTH, version 3.59.
On 30 May 2015, 21:26.