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Jul 7, 2020 · Ryo Fujita, Se-jin Oh. For a complex finite-dimensional simple Lie algebra g, we introduce the notion of Q-datum, which generalizes the notion of a Dynkin quiver with a height function from the viewpoint of Weyl group combinatorics.
- Ryo Fujita, Se-jin Oh
- 2020
New Ser. Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA) [6] arXiv:1710.11288 [ pdf, ps, other] Affine highest weight categories and quantum affine Schur-Weyl duality of Dynkin quiver types. Ryo Fujita. Comments: v2: 51 pages, a minor revision.
FUJITA, Ryo. I am working on representation theory of algebras arising from simple Lie algebras or their root systems (for example, quantum groups, Hecke algebras and their relatives) with particular interests in the structure of their categories of modules and related geometric objects.
Apr 5, 2023 · Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya. We establish a cluster theoretical interpretation of the isomorphisms of [F.-H.-O.-O., J. Reine Angew. Math., 2022] among quantum Grothendieck rings of representations of quantum loop algebras.
- arXiv:2304.02562 [math.RT]
- 17B37, 13F60, 20G42, 81R50, 17B10, 17B67
Ryo FUJITA | Cited by 92 | of Kindai University, Osaka | Read 15 publications | Contact Ryo FUJITA
R000006194. I am working on the representation theory of algebras related to complex semisimple Lie algebras and their root systems, mainly, affine quantum groups. Research Interests. 2. Quantum Group . Representation Theory . Research Areas. 1. Natural sciences / Algebra / Representation Theory . Papers. 8.
Ryo Fujita. Nagasaki University: Nagasaki, JP. 2015-04-01 to 2017-03-31 | JSPS Research Fellow (PD) (Stem cell biology) Qualification. Show more detail.
