Dyson Boson-Fermion Realization of Lie (Super)Algebras

D. V. Fursa, Yu. F. Smirnov and V. N. Tolstoy
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D. V. Fursa: The Flinders University of South Australia, School of Physical Sciences
Yu. F. Smirnov: U.N.A.M., Instituto de Ciencias Nucleares
V. N. Tolstoy: Moscow State University, Institute of Nuclear Physics

A chapter in Symmetries in Science IX, 1997, pp 117-137 from Springer

Abstract: Abstract The aim of the present paper is to construct Dyson type [1, 2] boson-fermion realizations (BFR) of the arbitrary finite-dimensional contragredient Lie (super)algebra [3, 4] and to discuss how these realizations can be used to determine the matrix representations of (super)algebra. (Here we use the name “(super)algebra” in the following sense: It includes all semisimple finite-dimensional Lie algebras and all finite-dimensional contragredient Lie superalgebras.)

Keywords: Verma Module; High Weight Vector; Boson Operator; Grassmann Algebra; Symmetric Basis (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4615-5921-4_9

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