[solved] MySQL service issue - corrupted ibdata1 file

I have the feeling that my problem is actually linked to a corruption of a mySQL table, due to an electrical power shutdown (that actually occurred yesterday, just before the problems started).

If I try to connect to mysql, I get the following message:

# mysql
ERROR 2002 (HY000): Can t connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

A similar issue can be found in this discussion.

I found that my corrupted table is this one:

# myisamchk -a *.MYI  | grep error
/var/lib/mysql/mysql/#sql-3e94_1.MYI

Any idea to fix/investigate the issue?