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math.RT2021
On the Vertex Operator Representation of Lie Algebras of Matrices
Ommolbanin Behzad, André Contiero, David Martins
The polynomial ring in indeterminates is a representation of the Lie algebra of all the endomorphism of vanishing at powers $X…
math.RT2020
Bosonic and Fermionic Representations of Endomorphisms of Exterior Algebras
Ommolbanin Behzad, Letterio Gatto
We describe the fermionic and bosonic Fock representation of the Lie super-algebra of endomorphisms of the exterior algebra of the -vector space of infinite countable…