CrossRef 2007 10 sitasi

6 j symbols duality relations

L. Freidel K. Noui Ph. Roche

Lihat Sumber DOI

Abstrak

It is known that the Fourier transformation of the square of (6j) symbols has a simple expression in the case of su(2) and Uq(su(2)) when q is a root of unit. The aim of the present work is to unravel the algebraic structure behind these identities. We show that the double cross product construction H1⋈H2 of two Hopf algebras and the bi-cross-product construction H2*⧑H1 are the Hopf algebra structures behind these identities by analyzing different examples. We study the case where D=H1⋈H2 is equal to the group algebra of ISU(2), SL(2,C) and where D is a quantum double of a finite group of SU(2) and of Uq(su(2)) when q is real.

Penulis (3)

L. Freidel

K. Noui

Ph. Roche

Format Sitasi

APA MLA BibTeX

Freidel, L., Noui, K., Roche, P. (2007). 6 j symbols duality relations. https://doi.org/10.1063/1.2803507

Akses Cepat

Lihat di Sumber doi.org/10.1063/1.2803507

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 10×
Sumber Database: CrossRef
DOI: 10.1063/1.2803507
Akses: Terbatas