Special Issue "Recent Advances in Representation Theory with Applications"

Dear Colleagues,

The representation theory presents a well-studied field that has, for many years, influenced several branches in mathematics, ranging from mathematical physics to the number theory. In recent years, significant progress has been achieved in understanding both complex and Banach space representations of classical groups and of Lie algebras. This knowledge has been expanded through the development and application of several methods, such as Hecke algebra considerations, L-functions, endoscopic methods, and theta correspondence, among others. In general, several theoretical representation methods intertwine to provide a more comprehensive approach to the studied problems. Additionally, the results obtained occasionally provide a different insight into themes related to different important subjects in pure mathematics.

The main aim of this Special Issue is to provide an opportunity to present recent developments in the representation theory and its applications, and to show how the developed methods can be used and further upgraded in different situations. It covers all aspects of the representation theory, such as the structure of complex, l-adic and Banach representations, as well as those of related research areas, such as automorphic and modular forms, Lie groups, Lie algebras, and harmonic analysis on groups of the Lie type.

We invite high-quality original research papers as well as comprehensive reviews related to the proposed topic.

Prof. Dr. Ivan Matić
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• representations of reductive groups
• automorphic forms
• modular forms
• L-functions
• Lie algebras and their representations
• representations of Clifford algebras
• representations of finite groups
• harmonic analysis on groups of the Lie type
• unitary representations
• applications of representation theory