standard 
The method applies to the standard arithmetic subgroups ofSO(n,1) (a case which was proved previously by Millson [Mi]), to the nonarithmetic lattices inSO(n,1) constructed by Gromov and PiatetskiShapiro [GPS] and to groups generated by reflections.


A new approach to standard monomial theory for classical groups


As an immediate application we obtain a new proof of the main theorem of standard monomial theory for classical groups.


There are two well known combinatorial tools in the representation theory ofSLn, the semistandard Young tableaux and the GelfandTsetlin patterns.


Fr?nsdal [Fr1, Fr2] made a penetrating observation that both of them are quasiHopf algebras, obtained by twisting the standard quantum affine algebraUq(g).


For a smooth oriented surface Σ, denote byM(Σ) the set of all ways to represent Σ as a result of gluing together standard spheres with holes ("the Lego game").


We give the classification of all finite dimensional LeviTanaka algebras of CR codimension two and construct the corresponding standard homogeneous CR manifolds.


In addition to the standard cohomological tools in algebraic geometry, the proof crucially relies on the nonvanishing of certain 3jsymbols from the quantum theory of


Standard monomial bases, Moduli spaces of vector bundles, and Invariant theory


This does not, however, give rise to vanishing identities for the standard nonsymmetric Macdonald and Koornwinder polynomials; we discuss the required modification to these polynomials to support such results.


This paper presents an expansion for radial tempered distributions on ${\bf R}^n$ in terms of smooth, radial analyzing and synthesizing functions with spacefrequency localization properties similar to standard wavelets.


This paper proves that every standard digit set D gives a setT (A, D) that tiles?n with a lattice tiling.


Let ? denote the standard (i.e., LeviCivita) Laplacian for some noncompact, connected, complete, separable Riemannian manifild M.


This problem does not arise if f is continuous, and can be removed by using the standard summability methods.


The definitions of the ?∞,qα spaces are extended in a natural way to ?∞,∞α and it is proven that this is the same space as ?∞,∞α, which justifies the standard convention in which the two spaces are defined to be equal.


The use of timefrequency methods (phase space methods) allows the use of rough symbols of ultrarapid growth in place of smooth symbols in the standard classes.


We study the performance of finite frames for the encoding of vectors by applying standard higherorder sigmadelta quantization to the frame coefficients.


We review here spherical wavelet analyses of the CMB that test the standard cosmological concordance model.


Here Z is the standard Zak transform and g is an even, real, wellbehaved window such that Zg has exactly one zero, at


The CoMFA model developed using most common structure based alignment and tripos standard field demonstrated high predictive ability (q2 = 0.573, r2 = 0.711).

