2008/01/28 by Elena Poletaeva
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Cellular algebra #Chemistry #Eigenvalues and eigenvectors #Mathematics #Matrix (chemical analysis) #Matrix algebra #N = 2 superconformal algebra #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Realization (probability) #Superconformal algebra #math-ph #math.MP #msc:17B65 #msc:17B66 #msc:81R10
paper · pdf · doi:10.1016/j.geomphys.2008.01.005
17 pages, LaTeX, to be published in the Journal of Geometry and Physics
arxiv created 2008/01/28 · openalex publication_date 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We give a general construction of realizations of the contact superconformal algebras K(2) and K'(4), and the exceptional superconformal algebra CK6 as subsuperalgebras of matrices over a Weyl algebra of size 2N× 2N, where N = 1, 2 and 3. We show that there is no such a realization for K(2N), if N≥ 4.