SU(3) higher roots and their lattices

Autor: Coquereaux, Robert

Publikováno v: In: Flandrin, P., Jaffard, S., Paul, T., Torresani, B. (eds) Theoretical Physics, Wavelets, Analysis, Genomics. An Indisciplinary Tribute to Alex Grossmann. Applied and Numerical Harmonic Analysis. Birkh\"auser, Cham. 2023

After recalling the notion of higher roots (or hyper-roots) associated with "quantum modules" of type $(G, k)$, for $G$ a semi-simple Lie group and $k$ a positive integer, following the definition given by A. Ocneanu in 2000, we study the theta serie

Externí odkaz: http://arxiv.org/abs/2409.02926

Multiplicities of maximal weights of the $\hat{s\ell}(n) $-module $V(k\Lambda_0)$

Autor: Jayne, Rebecca L., Misra, Kailash C.

Consider the affine Lie algebra $\hat{s\ell}(n)$ with null root $\delta$, weight lattice $P$ and set of dominant weights $P^+$. Let $V(k\Lambda_0), \, k \in \mathbb{Z}_{\geq 1}$ denote the integrable highest weight $\hat{s\ell}(n)$-module with level

Externí odkaz: http://arxiv.org/abs/2208.07266

Multiplicities of some maximal dominant weights of the $\widehat{s\ell}(n)$-modules $V(k\Lambda_0)$

Autor: Jayne, Rebecca L., Misra, Kailash C.

For $n \geq 2$ consider the affine Lie algebra $\widehat{s\ell}(n)$ with simple roots $\{\alpha_i \mid 0 \leq i \leq n-1\}$. Let $V(k\Lambda_0), \, k \in \mathbb{Z}_{\geq 1}$ denote the integrable highest weight $\widehat{s\ell}(n)$-module with highe

Externí odkaz: http://arxiv.org/abs/2004.14470

Theta functions for lattices of SU(3) hyper-roots

Autor: Robert Coquereaux

Publikováno v: Experimental Mathematics
Experimental Mathematics, Taylor & Francis, 2020, 29 (2), pp.137-162. ⟨10.1080/10586458.2018.1446062⟩
Experimental Mathematics, 2020, 29 (2), pp.137-162. ⟨10.1080/10586458.2018.1446062⟩

We recall the definition of the hyper-roots that can be associated to modules-categories over the fusion categories defined by the choice of a simple Lie group G together with a positive integer k. This definition was proposed in 2000, using another

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5be8cfea115c42b32645db19790790fd