The A-fibered Burnside Ring as A-Fibered Biset Functor in Characteristic Zero

Algebras and Representation Theory - Let A be an abelian group such that torn(A) is finite for every n ≥?1 and let ${\mathbb{K}}$ be a field of characteristic zero containing roots of...     

Cellular Fucosylation Inhibitors Based on Fluorinated Fucose-1-phosphates**

Fucosylation of glycans impacts a myriad of physiological and pathological processes. Inhibition of fucose expression emerges as a potential therapeutic avenue for example in cancer, inflammation, and infection. In this study, we found that protected 2-fluorofucose 1-phosphate efficiently inhibits cellular fucosylation with a four to seven times higher potency than known inhibitor 2FF, independently of the anomeric stereochemistry. Nucleotide sugar analysis revealed that both the α- and β-GDP-2FF anomers are formed inside the cell. In conclusion, we developed A2FF1P and B2FF1P as potent new tools for studying the role of fucosylation in health and disease and they are potential therapeutic candidates.     

Alperin's Weight Conjecture and Chain Complexes

It is shown that Alperin's weight conjecture is equivalent tothe existence of contractible chain complexes whose entrieshave the right dimension coming from some of the alternatingsum formulations. It is conjectured that for the other formulationsand for Dade's ordinary conjecture, there also exist such contractiblechain complexes.     

Stereoelectronic effects determine oxacarbenium vs β-sulfonium ion mediated glycosylations

Activation of a glycosyl donor protected with a 2-O-(S)-(phenylthiomethyl)benzyl ether chiral auxiliary results in the formation of an anomeric β-sulfonium ion, which can be displaced with sugar alcohols to give corresponding α-glycosides. Sufficient deactivation of such glycosyl donors by electron-withdrawing protecting groups is, however, critical to avoid glycosylation of an oxacarbenium ion intermediate. The latter type of glycosylation pathway can also be suppressed by installing additional substituents in the chiral auxiliary.     

Direct and stereoselective synthesis of alpha-linked 2-deoxyglycosides

alpha-Linked 2-deoxyglycosides were conveniently obtained by employing a glycosyl donor having a participating ( S)-(phenylthiomethyl)benzyl moiety at C-6, whereas 2,6-dideoxy-alpha-glycosides could be prepared by BF 3.Et 2O-promoted activation of allyl glycosyl donors.     

The Glycosylation Mechanisms of 6,3‐Uronic Acid Lactones

Uronic acids are important constituents of polysaccharides found on the cell membranes of different organisms. To prepare uronic‐acid‐containing oligosaccharides, uronic acid 6,3‐lactones can be employed as they display a fixed conformation and a unique reactivity and stereoselectivity. Herein, we report a highly β‐selective and efficient mannosyl donor based on C‐4 acetyl mannuronic acid 6,3‐lactone donors. The mechanism of glycosylation is established using a combination of techniques, including infrared ion spectroscopy combined with quantum‐chemical calculations and variable‐temperature nuclear magnetic resonance (VT NMR) spectroscopy. The role of these intermediates in glycosylation is assayed by varying the activation protocol and acceptor nucleophilicity. The observed trends are analogous to the well‐studied 4,6‐benzylidene glycosides and may be used to guide the development of next‐generation stereoselective glycosyl donors.     

Central idempotents of the bifree and left-free double Burnside ring

We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring and the left-free double Burnside ring, as well as the primitive central idempotents of the algebras arising from scalar extension to ?.     

An efficient synthesis of the natural tetrahydrofuran pachastrissamine starting from D-ribo-phytosphingosine

[reaction: see text] The natural product pachastrissamine, an anhydrophytosphingosine derivative isolated from various sponges and endowed with cytotoxic activity against several human carcinoma cell lines, was synthesized in three steps and with 72% overall yield from d-ribo-phytosphingosine.     

The Ring of Modules with Endo-permutation Source

In this paper we consider certain subalgebras of the Green algebra (representation algebra) of a finite group G. One such algebra is spanned by the isomorphism classes of all indecomposable modules whose source is an endo-permutation module. This algebra can be embedded into a finite direct product of Laurent polynomial rings in finitely many variables over a field. Another such algebra is spanned by the isomorphism classes of all irreducibly generated modules. When G is p-solvable then this algebra is finite-dimensional and split semisimple.R. Boltje was supported by the NSF, DMS-0200592 and 0128969. B. Külshammer was supported by the DAAD.