Bosonic and Fermionic Representations of Endomorphisms of Exterior Algebras
Representation Theory
2020-09-02 v1 Mathematical Physics
Algebraic Geometry
Combinatorics
math.MP
Abstract
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 dimension, vanishing at all but finitely many basis elements. We achieve the goal by exploiting the extension of the Schubert derivations to the Fermionic Fock space.
Keywords
Cite
@article{arxiv.2009.00479,
title = {Bosonic and Fermionic Representations of Endomorphisms of Exterior Algebras},
author = {Ommolbanin Behzad and Letterio Gatto},
journal= {arXiv preprint arXiv:2009.00479},
year = {2020}
}
Comments
20 pages, no figures