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 Joseph Bonaventure Orfila (Catalan: Mateu Josep Bonaventura Orfila i Rotger) (24 April 1787 – 12 March 1853) was a Minorcan-born French toxicologist and chemist, the founder of the science of toxicology.
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.