Dražen Adamović (2007)
Open Mathematics
For every m ∈ ℂ ∖ 0, −2 and every nonnegative integer k we define the vertex operator (super)algebra D m,k having two generators and rank . If m is a positive integer then D m,k can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that D m,k is a regular vertex operator (super) algebra and find the number of inequivalent irreducible modules.
Alnajjar, Hasan, Curtin, Brian (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Enriquez, Benjamin, Gavarini, Fabio (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Arun Ram (1991)
Inventiones mathematicae
Ernst Dieterich (2012)
Colloquium Mathematicae
We present a short and rather self-contained introduction to the theory of finite-dimensional division algebras, setting out from the basic definitions and leading up to recent results and current directions of research. In Sections 2-3 we develop the general theory over an arbitrary ground field k, with emphasis on the trichotomy of fields imposed by the dimensions in which a division algebra exists, the groupoid structure of the level subcategories 𝒟ₙ(k), and the role played by the irreducible...
Adam Owen, Susanne Pumplün (2021)
Communications in Mathematics
We find examples of polynomials whose eigenring is a central simple algebra over the field .
R. Parthasarathy (1978)
Compositio Mathematica
Jean-Luis Clerc (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
David A. jr. Vogan (1979)
Mathematische Annalen
Giovanni Gaiffi, Michele Grassi (2009)
Rendiconti del Seminario Matematico della Università di Padova
José M. Isidro (1989)
Revista Matemática de la Universidad Complutense de Madrid
In this article, a survey of the theory of Jordan-Banach triple systems is presented. Most of the recent relevant results in this area have been included, though no proofs are given.
Nickolas Heerema (1970)
Journal für die reine und angewandte Mathematik
Wilhelm Kaup, Harald Upmeier, Robert Braun (1978)
Mathematische Zeitschrift
Kjeseth, Lars (2001)
Homology, Homotopy and Applications
Alex J. Feingold, Igor B. Frenkel (1983)
Mathematische Annalen
Christian Kassel (1986)
Mathematische Annalen
Kurdiani, R., Pirashvili, T. (2002)
Journal of Lie Theory
Léandre, Rémi (2010)
Advances in Mathematical Physics
Jiyuan Tao (2016)
Special Matrices
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
Leclerc, Bernard (2003)
Séminaire Lotharingien de Combinatoire [electronic only]