Summary and Info
Let K be an algebraically closed field of finite characteristic p, and let be an integer. In the paper, we give a character formula for all simple rational representations of with highest weight any multiple of any fundamental weight. Our formula is slightly more general: say that a dominant weight λ is special if there are integers such that and . Indeed, we compute the character of any simple module whose highest weight λ can be written as with all are special. By stabilization, we get a character formula for a family of irreducible rational -modules.
More About the Author
Mathieu Ostiguy (born January 27, 1997) is a Canadian pair skater. With partner Justine Brasseur, he placed fourth at the 2016 Youth Olympics in Hamar and seventh at the 2016 World Junior Championships in Debrecen.
Review and Comments
Rate the Book
A character formula for a family of simple modular representations of GL(n) 0 out of 5 stars based on 0 ratings.