Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra gl(n|n) in odd Gelfand-Zetlin basis

Subtitle:Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra gl(n vertical bar n) in odd Gelfand-Zetlin basis

Clebsch-Gordan coefficients corresponding to the tensor product of the natural representation V([1, 0, ...,0]) of gl(n vertical bar n) with highest weight (1,0, ...,0) with any covariant tensor representation of gl(n vertical bar n) in the so called odd Gelfand-Zetlin basis are computed. The result is a step for the explicit construction of the parastatistics Fock space.

ISBN:9780735418035

Publication year:2019

BOF-keylabel:yes

IOF-keylabel:yes

Accessibility:Open