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|  | | 为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。 | |
The purpose of this note is to prove, as Lusztig stated, that the Euler characteristic of the variety of Iwahori subalgebras containing a certain nil-elliptic elementnt istcl wherel is the rank of the associated finite type Lie algebra.
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BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
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We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
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The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
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The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.
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A linear model for a given action is a linear orthogonal action with the same orbit types and equivalent slice representations.
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In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
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On the basis of these solutions, two types of elliptic quantum groups have been introduced (Foda et al.
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We consider two types of quotients of the integrable modules of.
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This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions.
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Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists
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A linear model for a given action is a linear orthogonal action with the same orbit types and equivalent slice representations.
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We prove that if a reductive group action on an affine quadric with a 1-dimensional quotient has a linear model, then the action is linearizable.
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Using the path model and the theory of crystals, we generalize the concept of patterns to arbitrary complex semi-simple algebraic groups.
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In the model situationD is the Siegel disc,S is the manifold of Lagrangian subspaces andG is the symplectic group.
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The presentations are given in the form of graphs resembling Dynkin diagrams and very similar to the presentations for finite complex reflection groups given in [2].
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LetH? be a real form of a complex semisimple group.
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LetZ=G/Q be a complex flag manifold andG0 a real form ofG.
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In this paper we present an explicit formula for the twistors in the form of an infinite product of the universalR matrix ofUq(g).
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We show that on each Schubert cell, the corresponding Kostant harmonic form can be described using only data coming from the Bruhat Poisson structure.
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