PreprintarXiv licencearXiv
The Yangian associated with the binary tree
Abstract
In this article, we give three candidates for a definition of the Yangian associated with the binary tree X* and the group Aut(X*) consisting of automorphisms of X* which preserve the tree structure. The first candidate has the Schur-Weyl duality with one kind of an extension of the degenerate affine Hecke algebra. The second and third ones have a homomorphism corresponding to the wreath recursion.
Related
- The nearest neighbor interchange proximity measure for the tree-basedness of rooted binary phylogenetic networks
- The parental parsimony problem on binary, tree-child phylogenetic networks
- Time-reliability optimization of multi-pass underfill dispensing sequences on printed circuit boards: a schedule-dependent reliability model solved by a multiset-permutation binary-addition-tree algorithm
- Hierarchical Majority Decomposition for Imbalanced Classification: A Recursive Binary Majority-Class Tree with Persistent Minority Comparison
- A note on the center of the queer super Yangian Y(q1)
BibTeX
@misc{ueda2026yangian,
title = {{The Yangian associated with the binary tree}},
author = {Mamoru Ueda},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01412},
eprint = {2611.01412},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01412},
}
RIS
TY - UNPB
TI - The Yangian associated with the binary tree
AU - Mamoru Ueda
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01412
UR - https://arxiv.org/abs/2611.01412
AB - In this article, we give three candidates for a definition of the Yangian associated with the binary tree X^* and the group Aut(X^*) consisting of automorphisms of X^* which preserve the tree structure. The first candidate has the Schur-Weyl duality with one kind of an extension of the degenerate affine Hecke algebra. The second and third ones have a homomorphism corresponding to the wreath recursion.
ER -