11 citations · 32 across the 7 of their papers we have counts for
4 papers · 1 filter
SO*(2N) coherent states for loop quantum gravity
Florian Girelli, Giuseppe Sellaroli
A SU(2) intertwiner with N legs can be interpreted as the quantum state of a convex polyhedron with N faces (when working in 3d). We show that the intertwiner Hilbert space carries…
Non-compact groups, tensor operators and applications to quantum gravity
Giuseppe Sellaroli
This work focuses on non-compact groups and their applications to quantum gravity, mainly through the use of tensor operators. First, the mathematical theory of tensor operators fo…
Wigner-Eckart theorem and Jordan-Schwinger representation for infinite-dimensional representations of the Lorentz group
Giuseppe Sellaroli
The Wigner-Eckart theorem is a well known result for tensor operators of SU(2) and, more generally, any compact Lie group. This paper generalises it to arbitrary Lie groups, possib…
Wigner-Eckart theorem for the non-compact algebra sl(2,R)
Giuseppe Sellaroli
The Wigner-Eckart theorem is a well known result for tensor operators of su(2) and, more generally, any compact Lie algebra. In this paper the theorem will be generalized to the pa…