26. Étoiles Doubles

Quantization of Drinfel’d doubles

Hopf algebra quantizations of 4-dimensional and 6-dimensional real classical Drinfel’d doubles are studied by following a direct “analytic” approach. The full quantization is explicitly obtained for most of the Drinfel’d doubles, except a small number of them for which the dual Lie algebra is either sl2 or so(3). In the latter cases, the classical r-matrices underlying the Drinfel’d double quan...

Shared delusions of doubles.

This is the first report of two partners in a folie à deux situation manifesting identical Capgras delusions. It is postulated that the Capgras syndrome developed as a result of interaction between a dominant patient with primarily paranoid psychopathology and a submissive one with primarily organic dysfunction. The submissive "neuro-organic" partner experienced a non-delusional misidentificati...

Pair extended coupled cluster doubles.

The accurate and efficient description of strongly correlated systems remains an important challenge for computational methods. Doubly occupied configuration interaction (DOCI), in which all electrons are paired and no correlations which break these pairs are permitted, can in many cases provide an accurate account of strong correlations, albeit at combinatorial computational cost. Recently, th...

Twisted quantum doubles

Quasisymmetric functions and Heisenberg doubles

The ring of quasisymmetric functions is free over the ring of symmetric functions. This result was previously proved by M. Hazewinkel combinatorially through constructing a polynomial basis for quasisymmetric functions. The recent work by A. Savage and O. Yacobi on representation theory provides a new proof to this result. In this paper, we proved that under certain conditions, the positive par...