| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
16 February 2025 |
|
| | | |
|
Article overview
| |
|
Central measures on multiplicative graphs, representations of lie algebras and weight polytopes | Cedric Lecouvey
; Pierre Tarrago
; | Date: |
1 Sep 2016 | Abstract: | To each finite-dimensional representation of a simple Lie algebra is
associated a multiplicative graph in the sense of Kerov and Vershik defined
from the decomposition of its tensor powers into irreducible components. The
conditioning of natural random Littelmann paths to stay in their corresponding
Weyl chamber is controlled by central measures on this type of graphs. In this
paper we characterize all the central measures on these multiplicative graphs
and explain how they can be easily parametrized by the weight polytope of the
underlying representation. We also get an explicit parametrization of this
weight polytope by the drifts of random Littelmann paths. | Source: | arXiv, 1609.0138 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|