Applications of Symmetric Functions Theory to Certain Fields

Dear Colleagues,

Symmetric polynomials and symmetric functions are ubiquitous in mathematics and mathematical physics. For example, they appear in elementary algebra representation theories of symmetric groups and general linear groups over the complex field or finite fields. The theory of symmetric functions has also many applications to enumerative combinatorics, as well as to such other branches of mathematics as group theory, Lie algebras, and algebraic geometry. Indeed, the Frobenius map and its extensions provide a bridge translating representation theory problems to symmetric function problems and ultimately to combinatorial problems. They have also played a central role in random matrix theory in the computation of quantities such as joint moments of traces and joint moments of characteristic polynomials of matrices.

This Special Issue will reflect the diversity of the topics in the applications of symmetric functions, symmetric function spaces and symmetries.

Potential topics include but are not limited to the following:

• Combinatorial applications of symmetric function theory;
• Applications of symmetric function theory to certain function spaces;
• Application of symmetric functions in some applied science problems;
• Symmetric functions over finite fields.

Dr. Serkan Araci
Prof. Dr. Ayhan Esi
Guest Editors

Manuscript Submission Information

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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. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

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