Objective
My research project is in very actively studied area of mathematics with connections to ring and module theory, Hopf algebras, non-commutative geometry and theoretical particle physics. The main directions of study will be the following:
a) We recently proved a new theorem connecting two concepts: entwining structures and Yang-Baxter systems. This important theorem will help us to give new examples of entwining structures and to classify them. This theorem will also provide new solutions for the Yang-Baxter systems.
b) We proved that the duality between the finite dimensional algebras and co algebras can be extended to a bigger category with a self-dual factor. We plan to study similar duality theorems for (co) rings, Lie (co) algebras, bialgebras, etc.
c) Unifying properties for the algebra and co algebra structures. We defined the Yang-Baxter modules, which unify the concepts of modules and co-modules. We will study their connections with the entwined modules and the (co) algebra Galois extensions. It also would be interesting to study the distributive laws in category theory and their connections with these concepts. We expect to present our results at the regular seminar devote to Algebra and Mathematical Physics, interact with the scientists from University of Wales, Swansea, obtain new results, and prepare the material for publication.. There will be collaborations with mathematicians from the USA, Romania, etc. We hope to make significant contributions to the work of the work leading experts in non- commutative gauge theory, Hopf algebras, braided categories, co homology theories, etc.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences theoretical physics particle physics
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics geometry
- social sciences law
You need to log in or register to use this function
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Data not available
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
SA2 8PP SWANSEA
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.