On the Combinatorics of Crystal Graphs, I. Lusztig’s Involution

  title={On the Combinatorics of Crystal Graphs, I. Lusztig’s Involution},
  author={Cristian Lenart},
In this paper, we continue the development of a new combinatorial model for the irreducible characters of a complex semisimple Lie group. This model, which will be referred to as the alcove path model, can be viewed as a discrete counterpart to the Littelmann path model. It leads to an extensive generalization of the combinatorics of irreducible characters from Lie type A (where the combinatorics is based on Young tableaux, for instance) to arbitrary type; our approach is type-independent. The… CONTINUE READING
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