STOCKHOLM — A sexual abuse and harassment scandal roiling the committee that awards the Nobel Prize in Literature deepened on Wednesday, as the king of Sweden and the foundation that finances the prize warned that the scandal risked tarnishing one of the world’s most important cultural accolades.

A schism in the Swedish Academy, which has awarded the prize since 1901, erupted into the open last week, the culmination of a scandal that stretches back to November, when the newspaper Dagens Nyheter reported that 18 women had accused Jean-Claude Arnault, a major cultural figure with close ties to the academy, of sexual assault and harassment.

Mr. Arnault is married to the poet Katarina Frostenson, a member of the academy, and together they run a private cultural club, called the Forum, that has received money from the academy.

The newspaper reported that Mr. Arnault had mistreated women at the club and at academy-owned properties in Stockholm and Paris over a 20-year period. It also reported that Mr. Arnault had leaked information about the prize committee’s confidential deliberations seven times since 1996.