Weyl pair, current algebra and shift operator

The embedding structure and the shift operator of the U ( 1 ) lattice current algebra

The structure of block-spin embeddings of the U(1) lattice current algebra is described. For an odd number of lattice sites, the inner realizations of the shift automorphism are classified. We present a particular inner shift operator which admits a factorization involving quantum dilogarithms analogous to the results of Faddeev and Volkov.

ar X iv : h ep - t h / 94 10 04 5 v 1 8 O ct 1 99 4 Weyl Pair , Current Algebra and Shift

The Abelian current algebra on the lattice is given from a series of the independent Weyl pairs and the shift operator is constructed by this algebra. So the realization of the operators of the braid group is obtained. For |q| = 1 the shift operator is the product of the theta functions of the generators w n of the current algebra. For |q| = 1 it can be expressed by the quantum dilogarithm of w...

SHIFT OPERATOR FOR PERIODICALLY CORRELATED PROCESSES

The existence of shift for periodically correlated processes and its boundedness are investigated. Spectral criteria for these non-stationary processes to have such shifts are obtained.

The κ−Weyl group and its algebra

The κ−Poincare group and its algebra in an arbitrary basis are constructed. The κ−deformation of the Weyl group and its algebra in any dimentions and in the reference frame in which g00 = 0 are discussed.

What are operator spaces ? Operator algebra group