Majorana representation of A6 involving 3C-algebras

amenability of banach algebras

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...

“Anticoherent” Spin States via the Majorana Representation

In this article we define and exhibit “anticoherent” spin states, which are in a sense “the opposite” of the familiar coherent spin states. Since the familiar coherent states are as “classical” as spin states can be, the anticoherent states may turn out to be better candidates for applications involving non-classical behaviors such as quantum entanglement. Thanks to the Majorana representation ...

Spin-spin correlators in the majorana representation.

In the Majorana representation of a spin 1/2 we find an identity which relates spin-spin correlators to one-particle fermionic correlators. This should be contrasted with the straightforward approach in which two-particle (four-fermion) correlators need to be calculated. We discuss applications to the analysis of the dynamics of a spin coupled to a dissipative environment and of a quantum detec...

Topological Representation of Algebras

Algebras Ii : Representation Theory

Representation theory is developed for the class of Galois algebras introduced recently by the authors. In particular, categories of Harish-Chandra modules are studied for integral Galois algebras which include generalized Weyl algebras, the universal enveloping algebra of gl n , the quantization and Yangians for gl 2 .