Open AccessA Matrix Lie Superalgebra and Its Applications
Author(s) -
Jingwei Han,
J. S. Yu,
Jingsong He
Publication year - 2013
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2013/416520
Subject(s) - supermatrix , lie superalgebra , hamiltonian (control theory) , mathematics , matrix (chemical analysis) , pure mathematics , mathematical physics , algebra over a field , chemistry , affine lie algebra , mathematical optimization , current algebra , chromatography
A matrix Lie superalgebra is established. As its applications, multicomponent super Ablowitz-Kaup-Newell-Segur (AKNS) equations and multicomponent super Dirac equations are constructed. By making use of supertrace identity, their super-Hamiltonian structures are presented, respectively
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