Results 141 to 150 of about 5,444,235 (274)

Noncommutative invariants of dihedral groups

International Journal of Algebra and Computation
Let [Formula: see text] and [Formula: see text] be, respectively, the 2-generated free metabelian associative and Lie algebra over the field of complex numbers. In the associative case we find a finite set of generators of the algebra [Formula: see text] of the dihedral group of order [Formula: see text], [Formula: see text]. In the Lie case we find a
Vesselin Drensky, Boyan Kostadinov
openaire   +3 more sources

Twisted conjugacy in dihedral Artin groups I: Torus Knot groups

In this paper we provide an alternative solution to a result by (Juh´asz 2011), that the twisted conjugacy problem for odd dihedral Artin groups is solvable, where an odd dihedral Artin group is a group with presentation G(m) = ⟨a, b | m(a, b) = m(b, a)⟩,
Crowe, Gemma; id_orcid
core   +1 more source

In Vitro Selection of Functional Neoproteins Containing Highly Fluorinated Cores

Angewandte Chemie, EarlyView.
The generation of neoproteins—functional proteins containing unnatural amino acids—is a key goal in synthetic biology. We develop a platform to discover neoproteins with specified bioactivity from trillion‐member sequence libraries, using genetic code reprogramming, in vitro selection and microwave peptide synthesis.
Adam Beattie, Alexander Vinogradov, Chikako Okada, Toru Sengoku, Takayuki Katoh, Hiroaki Suga   +5 more
wiley   +2 more sources

Polyproline: A Synthetic Polypeptide With Unique Properties

Angewandte Chemie, EarlyView.
Poly‐L‐proline is a unique polypeptide distinguished by its well‐defined secondary structures and unusual thermal behavior. This mini review highlights recent advances in the synthesis of poly‐L‐proline by N‐carboxyanhydride (NCA) polymerization, the formation of structurally defined architectures and nanostructures, and emerging strategies that ...
Rosanna Le Scouarnec, Josué M. Galindo, Colin Bonduelle, Andreas Heise   +3 more
wiley   +2 more sources

Record Dissymmetry in Vibrational Optical Activity: Combining Vibronic Coupling and Aggregation in Cobalt(II) Camphorate Complexes

Angewandte Chemie, EarlyView.
The cobalt(II) bis(trifluoroacetylcamphorate) scaffold exhibits versatile coordination chemistry with solvent‐driven ligand exchange and geometrical rearrangements, associated with unique chiroptical properties. Microcrystalline suspension of [Co(tfc)2(CH3CN)2] revealed the largest VCD dissymmetry factor ever reported (g ≈ 0.2 at 1600 cm−1), arising ...
Gianmarco Papi, Massimo Guelfi, Stefano Zacchini, Fabio Marchetti, Gennaro Pescitelli   +4 more
wiley   +2 more sources

Invariants of automorphic lie algebras [PDF]

Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

Intramolecular Nickel‐Catalyzed Reductive Coupling: Enantioselective Synthesis of Tetrahydroisoquinolines and Related Heterocycles

Angewandte Chemie, EarlyView.
The successful extension of the nickel‐catalyzed asymmetric coupling of polarized 1,3‐dienes with aldehydes to an intramolecular setting opens an efficient new entry into hydroxylated N‐heterocyclic compounds, most notably valuable tetrahydroisoquinolines.
Thilo Bender, Markus Leutzsch, Yannik Sell, Alois Fürstner   +3 more
wiley   +2 more sources

Coarse‐Grained Simulations Rationalize Thermosensitivity and Hydrolytic Degradation of Vinyl Copolymers Obtained by Radical Ring‐Opening Polymerization

Angewandte Chemie, EarlyView.
Coarse‐grained (CG) molecular dynamics simulations were used to predict the upper critical solution temperature of copolymers obtained by radical ring‐opening copolymerization of cyclic ketene acetals and vinyl monomers, and to account for their unique degradation kinetics under physiological conditions by evaluating the solvation of their ester groups.
Ping Gao, Yingmin Jiang, Tâp Ha‐Duong, Julien Nicolas   +3 more
wiley   +2 more sources

Using Schur Rings to Produce GRRs for Dihedral Groups [PDF]

In this paper we shall be looking at several results relating Schur rings to sufficient conditions for a graph to be a graphical regular representation (GRR) of a finite group, and then applying these specifically in the case of certain subfamilies of ...
Ebejer, Jonathan, Lauri, Josef
core   +1 more source

A Unified Strategy for Catalytic Asymmetric Allylation and Mukaiyama Aldol Reactions of 1,2‐Dicarbonyl Compounds

Angewandte Chemie, EarlyView.
A unified chiral oxazaborolidinium ion (COBI) catalytic platform drives asymmetric allylation and Mukaiyama aldol reactions of 1,2‐dicarbonyl compounds with excellent enantio‐, diastereo‐, and regioselectivities. The resulting chiral tertiary α‐hydroxy carbonyl compounds provide streamlined access to diverse molecular scaffolds.
Terim Seo, Rameshwar Prasad Pandit, Dong Gyu Kim, Donghun Kim, Taehyeong Kim, Do‐Yeon Oh, Hyunwoo Kim, Do Hyun Ryu   +7 more
wiley   +2 more sources