Affine Lie algebras and quantum groups

Project funded by Croatian Science Foundation (HRZZ) (Research Projects), grant IP-2025-02-4720. Participating organisations named by the source: University of Rijeka; University of Rijeka, Faculty of Mathematics. Funded amount: EUR 119,700, as stated by the source. Runs 2025-12-31 to 2028-12-30. Keywords: affine Lie algebras, quantum groups, quantum vertex algebras, principal subspaces, Rogers-Ramanujan identities. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2026-06-29); national funding data, not CORDIS. Abstract given by the source: In the proposed project, research will be conducted in the field of quantum groups, quantum vertex algebras and combinatorial representation theory of affine Lie algebras. The main goal is to support and coordinate the research activities of a group of researchers in these complementary areas. In the theory of quantum vertex algebras, the main problems that will be investigated are related to the structure of Etingof-Kazhdan's quantum vertex algebras associated with trigonometric R-matrices with special emphasis on the development of the theory of deformed phi-coordinated modules which will lead to new applications to numerous classes of quantum algebras associated with trigonometric R-matrices. In the theory of representations of affine Lie algebras the main problems which we will investigate are related to the construction of combinatorial bases of principal subspaces of standard modules of affine Lie algebras which will lead to new applications in the study of combinatorial identities.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Croatian Science Foundation (HRZZ). Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Affine Lie algebras and quantum groups" is funded by the Croatian Science Foundation with a grant of EUR 119,700, running from 2025-12-31 to 2028-12-30. It involves research on quantum groups and affine Lie algebras at the University of Rijeka. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.