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The Molecular Species Cα: Geometric Realization and a Closed Formula for Kronecker Coefficients
Abstract
In this paper we first introduce the \emph{infinite multi-row periodic pattern of shape α} as a geometric realization of Cα. We then give an explicit formula for the coefficients bλα,β appearing in the species decomposition Cα× Cβ = ∑λ⊢ n bλα,β Cλ.
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BibTeX
@misc{baolahy2026molecular,
title = {{The Molecular Species $\mathbfC_α$: Geometric Realization and a Closed Formula for Kronecker Coefficients}},
author = {Josaphat Baolahy and Benjamin Randrianirina},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05010},
eprint = {2609.05010},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05010},
}
RIS
TY - UNPB
TI - The Molecular Species C_α: Geometric Realization and a Closed Formula for Kronecker Coefficients
AU - Josaphat Baolahy
AU - Benjamin Randrianirina
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.05010
UR - https://arxiv.org/abs/2609.05010
AB - In this paper we first introduce the \emph{infinite multi-row periodic pattern of shape α} as a geometric realization of C_α. We then give an explicit formula for the coefficients b^λ_α,β appearing in the species decomposition C_α× C_β = ∑_λ⊢ n b^λ_α,β C_λ.
ER -