Lie superalgebraic framework for generalization of quantum statistics

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Para-Bose and para-Fermi statistics are known to be associated with representations of the Lie (super)algebras of class B. We develop a framework for the generalization of quantum statistics based on the Lie superalgebras A(m|n), B(m|n), C(n) and D(m|n).
Talk presented at the International Workshop "Lie Theory and Its Applications in Physics VI" Varna, 2005

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