1987•Journal of Physics A Mathematical and GeneralOpen access

Heisenberg-Weyl algebras of symmetric and antisymmetric bosons

R Le Blanc, D.J. Rowe

Abstract

All the polynomials in symmetric ((2)) and antisymmetric ((11)) u(n) bosons are constructed in u(n) bases and u(n)-reduced matrix elements for the bosons between polynomial basis states are computed. Applications to representation theory of Lie groups, paired-fermion and boson physics are briefly discussed.

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Key concepts: Antisymmetric relation, Boson, Representation theory, Basis (linear algebra), Physics, Fermion, Representation (politics), Lie algebra