Boyle’s Reductive Occasionalism

LCHF: response to Drs Boyles and Wasserman.

95 February 2014, Vol. 104, No. 2 LCHF: Response to Drs Boyles and Wasserman To the Editor: In their recent correspondence to the SAMJ,[1] Drs Boyles and Wasserman make four points regarding my survey on low-carbohydrate, high-fat (LCHF) intake published in the November issue of the SAMJ.[2] First, that my paper suffers from ‘major methodological flaws that are irreconcilable with basic scienti...

Reductive Groups

Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras

We say that a finite dimensional Lie algebra is quasi-reductive if it has a linear form whose stabilizer for the coadjoint representation, modulo the center, is a reductive Lie algebra with a center consisting of semisimple elements. Parabolic subalgebras of a semisimple Lie algebra are not always quasi-reductive (except in types A or C by work of Panyushev). The classification of quasireductiv...

Essentially Reductive Hilbert Modules

Consider a Hilbert space obtained as the completion of the polynomials C[z ] in m-variables for which the monomials are orthogonal. If the commuting weighted shifts defined by the coordinate functions are essentially normal, then the same is true for their restrictions to invariant subspaces spanned by monomials. This generalizes the result of Arveson [4] in which the Hilbert space is the m-shi...

DNA-catalyzed reductive amination.

Deoxyribozymes are particular DNA sequences that have catalytic ability, analogous to protein enzymes as functional amino acid sequences. The discovery of natural RNA enzymes (ribozymes) spurred the search for artificial deoxyribozymes, which are identified by in vitro selection. Most deoxyribozyme-catalyzed reactions involve phosphodiester bond cleavage or ligation, although other reactions su...