Fermionic realization of toroidal Lie algebras of classical types

Details Fermionic realization of toroidal Lie algebras of classical types Fermionic realization of toroidal Lie algebras of classical types

2008-07-18

arxiv.org/abs/0807.3056v2

J. Algebra 324 (2010), no. 2, 183--194,

Mathematics

Quantum Algebra

Updated version to include new fermionic construction for symplectic types

Scientific paper

We use fermionic operators to construct toroidal Lie algebras of classical
types, including in particular that of symplectic affine algebras, which is
first realized by fermions.

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