arXiv subjects

Ryoga Matsumoto

Publications and source records attributed to Ryoga Matsumoto.

2 recordsLinked to original sources

arXiv2024

Jones Wenzl projectors in Verma modules

We construct special idempotents in $\mathrm{End}_{U_q(\mathfrak{sl}_2)}(M(μ_1)\otimes\cdots \otimes M(μ_n))$ like the Jones Wenzl projector where $M(μ_i)$ is Verma module whose highest weight is $μ_i$ and is complex number except non-negative integer.

math.RT↗

arXiv2023

Jones Wenzl projectors in tensor products of a Verma module and irreducible modules

We construct special idempotents in $\mathrm{End}_{U_q(\mathfrak{sl}_2)}(M(μ)\otimes V_1^{\otimes n})$ like the Jones Wenzl projector where $M(μ)$ is Verma module whose highest weight is $μ$ and $V_1$ is $2$-dimensional irreducible module.

math.QA↗