Synthesis and anti-neuroinflammatory activity studies of substituted 3,4-dihydroquinoxalin-2-amine derivatives

We demonstrate the synthesis of multifunctional 3,4-dihydroquinoxalin-2-amine derivatives 4 through a three-component condensation reactions of a substituted o-phenylenediamines 1 (OPDA), diverse ketones 2 and various isocyanides 3 in the presence of a catalytic amount of p-toluenesulfonic acid (PTSA) affording excellent yields (82–96%) and 10 mol % of silica gel supported sulfuric acid with good yields (85–98%) in ethanol at room temperature (2–4 h). We also carried out the anti-neuroinflammatory activity of 3,4-dihydroquinoxalin-2-amine derivatives and some of the compounds exhibited good activity.     

The phenylcarbene rearrangement revisited

The evolution of mechanistic ideas about the phenylcarbene rearrangement has been reviewed, and three closely linked problems have been identified toward whose solution this research has been aimed: 1. Why do the ratios of the stable end products from the rearrangements of o-, m- and p-tolylmethylene differ when all three reactions have been throught to pass through a common intermediate? 2. Why does the rearrangement of 2-methylcycloheptatrienylidene lead to exclusive formation of styrene? 3. What is the mechanism of styrene formation from o-tolylmethylene? New mechanisms have been proposed in which m- and p-tolylmethylene can rearrange to styrene without necessarily being converted to o-tolylmethylene. The formation of a small amount of 2,6-dimethylstyrene from the rearrangement of 3,4,5-trimethylphenylmethylene is viewed as evidence for such a mechanism, and a set of interconverting norcaradienylidenes are believed to be the crucial intermediates. Other alternatives are considered and rejected on the basis of the rearrangement products of 3,5-dimethyl- and 3,4,5-trimethylphenylmethylene.     

Current algebras, highest weight categories and quivers

We study the category of graded finite-dimensional representations of the polynomial current algebra associated to a simple Lie algebra. We prove that the category has enough injectives and compute the graded character of the injective envelopes of the simple objects as well as extensions between simple objects. The simple objects in the category are parametrized by the affine weight lattice. We show that with respect to a suitable refinement of the standard ordering on the affine weight lattice the category is highest weight. We compute the Ext quiver of the algebra of endomorphisms of the injective cogenerator of the subcategory associated to an interval closed finite subset of the weight lattice. Finally, we prove that there is a large number of interesting quivers of finite, affine and star-shaped type, as well as tame quasi-hereditary algebras, that arise from our study.     

Quantum affine algebras

We classify the finite-dimensional irreducible representations of the quantum affine algebra in terms of highest weights (this result has a straightforward generalization for arbitrary quantum affine algebras). We also give an explicit construction of all such representations by means of an evaluation homomorphism , first introduced by M. Jimbo. This is used to compute the trigonometricR-matrices associated to finite-dimensional representations of .     

Fundamental representations of quantum groups at roots of 1

To every finite-dimensional irreducible representation V of the quantum group U(g) where is a primitive lth root of unity (l odd) and g is a finite-dimensional complex simple Lie algebra, de Concini, Kac and Procesi have associated a conjugacy class C _V in the adjoint group G of g. We describe explicitly, when g is of type A _n , B _n , C _n , or D _n , the representations associated to the conjugacy classes of minimal positive dimension. We call such representations fundamental and prove that, for any conjugacy class, there is an associated representation which is contained in a tensor product of fundamental representations.     

Yangians,integrable quantum systems and Dorey's rule

It was pointed out by P. Dorey that the three-point couplings between the quantum particles in affine Toda field theories have a remarkable Lie-theoretic interpretation. It is also well known that such theories admit quantum affine algebras as quantum symmetry groups, and widely believed that the quantum particles correspond to the so-called fundamental representations of these algebras. This led to the conjecture that Dorey's rule should describe when a fundamental representation occurs with non-zero multiplicity in a tensor product of two other fundamental representations. The purpose of this paper is to prove this conjecture, both for quantum affine algebras and for Yangians. The result reveals a hitherto unsuspected role played by Coxeter elements (and their twisted analogues) in the representation theory of these algebras.     

Synthesis of Superacid‐Functionalized Mesoporous Nanocages with Tunable Pore Diameters and Their Application in the Synthesis of Coumarins

Here we demonstrate for the first time the preparation of a triflic acid (TFA)‐functionalized mesoporous nanocage with tunable pore diameters by the wet impregnation method. The obtained materials have been unambiguously characterized by XRD, N₂ adsorption, FTIR spectroscopy, and NH₃ temperature‐programmed desorption (TPD). From the characterization results, it has been found that the TFA molecules are firmly anchored on the surface of the mesoporous supports without affecting their acidity. We also demonstrate the effect of the pore and cage diameter of the KIT‐5 supports on the loading of TFA molecules inside the pore channels. It has been found that the total acidity of the materials increases with an increase in the TFA loading on the support, whereas the acidity of the materials decreases with an increase in the pore diameter of the support. The acidity of the TFA‐functionalized mesoporous nanocages is much higher than that of the zeolites and metal‐substituted mesoporous acidic catalysts. The TFA‐functionalized materials have also been employed as the catalysts for the synthesis of 7‐hydroxy‐4‐methylcoumarin by means of the Pechmann reaction under solvent‐free conditions. It has been found that the catalytic activity of the TFA‐functionalized KIT‐5 is much higher than that of zeolites and metal‐substituted mesoporous catalytic materials in the synthesis of coumarin derivatives. The stability of the catalyst is extremely good and can be reused several times without much loss of activity in the above reaction.     

Synthesis of Xanthone-O-Glycosides. II.. Synthesis of 1-O-β-glycosides

Several naturally occurring xanthone-1-O-glycosides have been synthesized in order to study monoamine oxidase (MAO) inhibition structure-activity relationships. The syntheses also confirmed the structures as 1-β-D -glucosyloxy-3-hydroxy-5-methoxyxanthone (Canscora decussata SCHULT .), 1-O-β-primeverosyl-3, 7, 8-trimethoxyxanthone (decussatin-1-O-primeveroside, Gentiana verna L .) and 1-O-β-primeverosyl-3, 8-dimethoxy-7-hydroxyxanthone (gentiacaulein-1-O-β-primeveroside, Gentiana verna L .).