Representations of Lie Algebras and Their Generalizations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".
Deadline for manuscript submissions: closed (30 November 2018)
Special Issue Editor
Interests: real and complex lie algebras and groups; differential forms and distribution theory; contractions and deformations; casimir invariants; symmetries in physics; representation theory; lie group analysis of differential equations; lagrangian and hamiltonian formalism in classical mechanics; integrable and superintegrable systems; symmetry-conditioned perturbation theory; inverse problems in dynamics; supersymmetry
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Special Issue Information
Dear Colleagues,
It is probably not an exaggeration to state that representation theory of Lie algebras and their generalizations constitutes one of the most recurring techniques encountered in mathematical and physical problems dealing with the linearization of nonlinear phenomena. Beyond structure theory, representations play a prominent role in invariant theory, both algebraic and geometric, as well as in many applications like differential equations, integrable systems, quantum groups, gauge theories, or string theory, among many other topics.
We invite researchers to contribute original papers and review articles concerning currently open problems within the representation theory of Lie algebras, superalgebras, and generalized algebraic structures, such as ternary or n-ary algebras, Leibniz algebras, etc., also covering applications in other disciplines. Articles describing new methods with strong geometrical and/or computational background are particularly welcome, as well as papers concerning methods of representation theory in chemistry, physics, and engineering sciences.
Prof. Dr. Rutwig Campoamor-Stursberg
Guest Editor
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. 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.
Keywords
- representations of Lie algebras
- representations of Lie superalgebras and n-ary algebras.
- Jordan and Leibniz algebras.
- homological and cohomological methods
- computational methods in representation theory
- geometric and algebraic invariant theory
- applications in physics and chemistry
