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The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the non-arithmetic lattices inSO(n,1) constructed by Gromov and Piatetski-Shapiro [GPS] and to groups generated by reflections.
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A new approach to standard monomial theory for classical groups
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As an immediate application we obtain a new proof of the main theorem of standard monomial theory for classical groups.
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There are two well known combinatorial tools in the representation theory ofSLn, the semi-standard Young tableaux and the Gelfand-Tsetlin patterns.
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Fr?nsdal [Fr1, Fr2] made a penetrating observation that both of them are quasi-Hopf algebras, obtained by twisting the standard quantum affine algebraUq(g).
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The process results in a good weld formation and high welding quality, which meet the requirements of related standards.
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Although the traditional information classification coding system in manufacturing enterprises (MEs) emphasizes the construction of code standards, it lacks the management of the code creation, code data transmission and so on.
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The procedure of establishing quality metadata standards is emphasized in the paper, and the content structure and description scheme are given.
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It is based on determination of two effective parameters-concentrations of zeatin and zeatin riboside-with the use of appropriate antigens as standards.
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This system includes lyophilized preparations of human autoantibodies to TPO, radioiodinated TPO, standards prepared from pure TPO, and the solid-phase protein A as a precipitating agent.
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We give criteria for a divisor to be Cartier, globally generated and ample, and apply them to a study of the local structure and the intersection theory of aG-variety.
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Orthogonality criteria for compactly supported refinable functions and refinable function vectors
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Among several models, one model has been identified with the statistical criteria r≥0.9, chance>amp;lt;0.02, superimposition match>amp;gt;0.67.
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Discriminant analysis and cluster analysis generally discerned association of these 17 compounds on a basis of higher and lower formula weight criteria.
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Our criteria improve effectively the correspondent results in [1].
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We apply this criterion of algebraic integrability to two examples: finite-zone potentials and the elliptic Calogero-Moser system.
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We obtain a criterion for rational smoothness of an algebraic variety with a torus action, with applications to orbit closures in flag varieties, and to closures of double classes in regular group completions.
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To prove this, we first state and prove a general result which gives a criterion for checking whether a variety of dimensionN≥3 is a (compactification of a) ball quotient.
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Further, an analog of the Kempf-Ness criterion is obtained and homogeneous spaces of compact Lie groups which admit only polynomially convex equivariant embeddings are characterized.
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In this paper, we will formulate a general (parameter dependent) semistability concept for such triples, which generalizes the classical Hilbert--Mumford criterion, and we establish the existence of moduli spaces for the semistable objects.
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