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1.
Ordered mesoporous aluminum oxide films with a porosity range of 40-48% were synthesized by an evaporation-induced self-assembly (EISA) process using surfactant templating. To investigate the role of the hydrolysis reaction in the formation of a mesoporous structure, the changes of pore structure properties according to a variation of aging time and water molar ratio were monitored. From the tendencies of pore structure properties, the optimized condition for a high porosity and a highly ordered pore structure in ordered mesoporous alumina film was determined. This alumina film maintained the mesoporous structure even though it annealed at high temperatures, up to 1200 °C. Therefore, the ordered mesoporous alumina films synthesized in this study could be applicable as a material used at high temperature.  相似文献   
2.
In this paper, we prove Khovanov-Lauda??s cyclotomic categorification conjecture for all symmetrizable Kac-Moody algebras. Let $U_{q}(\mathfrak{g})$ be the quantum group associated with a symmetrizable Cartan datum and let V(??) be the irreducible highest weight $U_{q}(\mathfrak{g})$ -module with a dominant integral highest weight ??. We prove that the cyclotomic Khovanov-Lauda-Rouquier algebra R ?? gives a categorification of V(??).  相似文献   
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We construct quantum deformations of enveloping algebras of Borcherds superalgebras, their Verma modules, and their irreducible highest weight modules.

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5.
Crystal Bases for Quantum Affine Algebras and Combinatorics of Young Walls   总被引:8,自引:0,他引:8  
In this paper we give a realization of crystal bases for quantumaffine algebras using some new combinatorial objects which wecall the Young walls. The Young walls consist of colored blockswith various shapes that are built on a given ground-state walland can be viewed as generalizations of Young diagrams. Therules for building Young walls and the action of Kashiwara operatorsare given explicitly in terms of combinatorics of Young walls.The crystal graph of a basic representation is characterizedas the set of all reduced proper Young walls. The characterof a basic representation can be computed easily by countingthe number of colored blocks that have been added to the ground-statewall. 2000 Mathematical Subject Classification: 17B37, 17B65,81R50, 82B23.  相似文献   
6.

A crystal base theory is introduced for the quantized enveloping algebra of the general linear Lie superalgebra , and an explicit realization of the crystal base is given in terms of semistandard tableaux.  相似文献   

7.
We provide a geometric realization of the crystal B(∞) for quantum generalized Kac-Moody algebras in terms of the irreducible components of certain Lagrangian subvarieties in the representation spaces of a quiver.  相似文献   
8.
We prove that the multiplicity of an arbitrary dominant weight for an irreducible highest weight representation of the affine Kac–Moody algebra A (1) r is a polynomial in the rank r. In the process we show that the degree of this polynomial is less than or equal to the depth of the weight with respect to the highest weight. These results allow weight multiplicity information for small ranks to be transferred to arbitrary ranks.  相似文献   
9.
The influence of Sn substitution in LiMn2O4 thin films as a cathode has been studied via solution deposition to improve the electrochemical performance of thin film lithium batteries. LiSn0.025Mn1.95O4 thin films showed the most promising performance, i.e. a high capacity retention of 77% at 10 C after the 500th cycle, due to the increased average Mn valence state. The thin films of LiSnx/2Mn2?xO4 (x ? 0.10) showed significant precipitation of SnO2 and SnO after the cycling evaluation.  相似文献   
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