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551.
We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show that a discrete indefinite improper affine sphere can be constructed from two discrete plane curves. 相似文献
552.
Valentina Guizzi 《Journal of Combinatorial Theory, Series A》2010,117(6):683-226
We give a detailed account of a combinatorial construction, due to Cherednik, of cyclic generators for irreducible modules of the affine Hecke algebra of the general linear group with generic parameter q. 相似文献
553.
554.
Let G be a complex connected reductive group. Losev has shown that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreducible representations of G that occur in the coordinate ring of X. In this paper we use a combinatorial characterization of the weight monoids of smooth affine spherical varieties to classify:(a) all such varieties for G = SL(2) × C~×and(b) all such varieties for G simple which have a G-saturated weight monoid of full rank. We also use the characterization and Knop's classification theorem for multiplicity free Hamiltonian manifolds to give a new proof of Woodward's result that every reflective Delzant polytope is the moment polytope of such a manifold. 相似文献
555.
Partha Guha 《Journal of Geometry and Physics》2003,46(3-4):231-242
It is known that the Korteweg–de Vries (KdV) equation is a geodesic flow of an L2 metric on the Bott–Virasoro group. This can also be interpreted as a flow on the space of projective connections on S1. The space of differential operators Δ(n)=∂n+u2∂n−2++un form the space of extended or generalized projective connections. If a projective connection is factorizable Δ(n)=(∂−((n+1)/2−1)p1)(∂+(n−1)/2pn) with respect to quasi primary fields pi’s, then these fields satisfy ∑i=1n((n+1)/2−i)pi=0. In this paper we discuss the factorization of projective connection in terms of affine connections. It is shown that the Burgers equation and derivative non-linear Schrödinger (DNLS) equation or the Kaup–Newell equation is the Euler–Arnold flow on the space of affine connections. 相似文献
556.
Minoru Wakimoto 《Nuclear Physics B》1998,530(3):665-682
In this paper we give a new construction of the N = 2 superconformal algebra using currents of the affine superalgebra
and free bosonic fields, and also the N = 4 supercomformal algebra without central charge in terms of currents of
and free bosonic fields. 相似文献
557.
仿射系统局部强可控性的充分条件 总被引:1,自引:0,他引:1
本文讨论仿射系统的局部强可控性.文中证明了如果系统在x_0点满足可控性秩条件,并且集合{x|dim sp{g_i(x)}相似文献
558.
Dong Ruan 《Journal of mathematical chemistry》2006,39(2):417-440
In this paper two kinds of two-boson realizations of the polynomial angular momentum algebra are obtained by generalizing
the well known Jordan–Schwinger realizations of the SU(2) and SU(1,1) algebras. Especially, for the Higgs algebra, an unitary
realization and two nonunitary realizations, together with the properties of their respective acting spaces are discussed
in detail. Furthermore, similarity transformations, which connect the nonunitary realizations with the unitary ones, are gained
by solving the corresponding unitarization equations. As applications, the dynamical symmetry of the Kepler system in a two-dimensional
curved space is studied and phase operators of the Higgs algebra are constructed. 相似文献
559.
E. Sommers 《Proceedings of the American Mathematical Society》1997,125(8):2481-2484
We show that the homology of the space of Iwahori subalgebras containing a nilpotent element of a split semisimple Lie algebra over is isomorphic to the homology of the entire affine flag manifold.
560.
Elisabeth Werner 《Geometriae Dedicata》1997,64(3):343-354
For a convex body K in R
2 with illumination body K
we consider an expression connected with the affine surface area of K, namely the volume differences vol2(K
) - vol2(K). We investigate what kind of functions can occur as such volume differences and obtain a result similar to the one obtained in the case of floating bodies. 相似文献