Search

For a ∈ C ⁎ there are two natural evaluation maps ev a and ev a from the affine Hecke algebra H ▵ (r) C to the Hecke algebra H (r) C. The maps ev a and ev a induce evaluation maps ev ˜ a and ev ˜ a from the affine quantum Schur algebra S ▵ (n , r) C to the quantum Schur algebra S (n , r) C , respectively. In this paper we prove that the evaluation map ev ˜ a (resp. ev ˜ a) is compatible with the evaluation map Ev a (resp. Ev (− 1) n a q n ) for quantum affine sl n. Furthermore we compute the Drinfeld polynomials associated with the simple S ▵ (n , r) C -modules which come from the simple S (n , r) C -modules via the evaluation maps ev ˜ a. Then we characterize finite-dimensional irreducible S ▵ (n , r) C -modules which are irreducible as S (n , r) C -modules for n > r. As an application, we characterize finite-dimensional irreducible modules for the affine Hecke algebra H ▵ (r) C which are irreducible as modules for the Hecke algebra H (r) C. [ABSTRACT FROM AUTHOR]

The N-containing hyper-cross-linked polymers with different porosity and polarity were prepared from 4-vinylbenzyl chloride and 4-vinyl pyridine by the suspension polymerization and Friedel-Crafts reaction. A carbonization process by KOH chemical activation was carried out for the N-containing hyper-cross-linked polymers, and hence a series of N-doped porous carbons (NDPC) was easily fabricated. These porous materials were comparatively evaluated for CO 2 adsorption. The NDPC were much more efficient than the N-containing hyper-cross-linked polymers for the CO 2 capture and the CO 2 uptake had a linear correlation to the ultramicropore volume (d ≤ 0.8 nm) with R 2  = 0.9737. NDPC-10% possessed the highest CO 2 uptake around 270 mg/g, and had the sufficient CO 2 /N 2 selectivity of 20.2 at 273 K and 1.0 bar. The CO 2 /N 2 selectivity of the N-containing hyper-cross-linked polymers was much higher than the NDPC due to the higher nitrogen content. The isosteric heat of adsorption on the N-containing hyper-cross-linked polymers ranged 29.0–41.2 kJ/mol while that on the NDPC was much lower (24.6–29.2 kJ/mol). The NDPC developed in this study may provide promising candidates for the CO 2 capture. [ABSTRACT FROM AUTHOR]