Báo cáo toán học: "Promotion operator on rigged configurations of type A" potx

... configurations A general definition of rigged configuration of arbitrary types can be found in [14, Section 3.1]. Here we are only concerned with type A n rigged configurations and review their definition. Given ... Section 2, we review the definitions of crystal paths and rigged configurations, and state the main results of this paper. Theorem 2.38 shows that pr is the analogue...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

... the mid-point of any two numbers of A belonging to sequence (1) is different from r, we can assert that at least one of p + i and q − i does not belong to A if |i| satisfies condition (2). Now, ... the usual notations N is the set of natural numbers and R + is the set of positive rational numbers. One may recall here the notion of asymptotic density of a set of positive integers...

Ngày tải lên: 06/08/2014, 05:20

... process design. One of the main contributions of the study is its definition of scenarios as computational lifecycle models that enable the design, visualization and evaluation of the whole product ... candidates were connected with a contradictory link to avoid selection of both nodes as a conclusion. Second, we determined the lifecycle concepts. Here, we derived the four conce...

Ngày tải lên: 20/06/2014, 21:20

... this section, and in the next section. Since z(n, t) ∼ n 2 for the range of t’s that we consider, we will occasionally rephrase our results in terms of the minimum number ζ(n, t) of zeros of an n ... =0)→0 with this value of p, then the same conclusion is certainly valid, by monotonicity, if p assumes any larger value. So far, our analysis has led (roughly) to the conditions log n ...

Ngày tải lên: 07/08/2014, 06:20

... the set of all n-periodic orbits (PO’s) on the graph. Note that for the convenience of presentation we will consider cycles differing only by a cyclic permutation the electronic journal of combinatorics ... metric is assigned to the bonds, and the solutions of the one-dimensional Schr¨odinger equation on each bond (i d x − A) 2 ψ(x)=k 2 ψ(x) is given as a linear combination of co...

Ngày tải lên: 07/08/2014, 06:23

... Classifications: 20F55, 20C30 Abstract The Garnir relations play a very important role in giving combinatorial construc- tions of representations of the symmetric groups. For the Weyl groups of type ... combination of the polytabloids the electronic journal of combinatorics 15 (2008), #R73 13 The main object of this paper is to construct the Garnir relations in terms of the roo...

Ngày tải lên: 07/08/2014, 21:20

Ngày tải lên: 05/08/2014, 15:21

... position of n in ǫ ∗ ◦ ∂(T ) is the same as the position of n in T (because the sliding in the action of promotion and the first application of dual-sliding in the definition of dual-evacuation will ... promotion path of T is the reverse of the dual-promotion path of ∂(T ). the electronic journal of combinatorics 18 (2011), #P18 4 Proof. It follows from the definition of dual...

Ngày tải lên: 08/08/2014, 12:23