Báo cáo toán học: "Promotion and evacuation on standard Young tableaux of rectangle and staircase shape" doc

... representation-theoretical in- terpretation. the electronic journal of combinatorics 18 (2011), #P18 15 Promotion and evacuation on standard Young tableaux of rectangle and staircase shape Steven Pon ∗ Department ... 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 dua...

Ngày tải lên: 08/08/2014, 12:23

... vortex and adding lisozyme to a final concentration of 17 mg/mL. After incubation at 37 ºC for 1 h, proteinase K and SDS were added (final concentration of 0.7 mg/mL and 2 %, respectively) and ... preparation and incubation of the anaerobic and mixed microorganism consortium. Each consortium biodegradation experiment was composed of 40 mL of Zinder nutrient medium (Zi...

Ngày tải lên: 20/06/2014, 21:20

... second ingredient of our proof is the following result of Stiebitz. Lemma 3 ([5]) Let G be a k-critical graph containing at least one vertex of degree k − 1. Then the number of connected components ... electronic journal of combinatorics 1 (1998), #R4 3 Let r be the number of connected components of H(G), then trivially |E(H(G))|≥n H −r. (2) Also, by Lemma 3, the number of con...

Ngày tải lên: 07/08/2014, 06:22

... assumptions, if z ∈ N(u) ∪ N(v), then z /∈ X and d G (z) ≥ 3. Let G ′ = G − {u, v}. Let G u and G v be the components of G ′ containing u ′ and v ′ , respectively, and let G w be the component of ... identifying v 1 and v 2 and deleting {u 1 , u 2 } a type-1 G-reducible graph. the electronic journal of combinatorics 18 (2011), #P12 2 Summary of the proof of T heorem 4. W...

Ngày tải lên: 08/08/2014, 12:23

... 1). Definition 2. Let λ be a partition of N.Letc be one of the N cells in the diagram of λ. the electronic journal of combinatorics 11 (2004), #R68 2 Proof. The bijection F is based on the tile insertion ... of notation translation, keeping in mind that the permutation σ corresponds to the reversal of the word of f. 5 Univariate Symmetry of CH n,k,m (q, t) This section genera...

Ngày tải lên: 07/08/2014, 08:20

... promotion and evacuation on the maximal chains of B n are equivalent to “classical” promotion and evacuation on A. The linear extensions of A are just all the permutations w of {1, . . . , n}, and ... representation theory. Both Stembridge and Berenstein- Kirillov deal with semistandard tableaux, while here we consider only the special case of standard tableaux. Wh...

Ngày tải lên: 08/08/2014, 01:20

... F 1 =1,etc.,andL 1 =1,L 2 =3,etc.). Polynomial generalizations of F n and/ or L n have arisen as generating functions for statistics on binary words [1], lattice paths [4], and linear and circular ... functions for a pair of statistics on linear and circular r-mino arrangements. 2Linearr-Mino Arrangements Consider the problem of finding the number of ways to place k indistin...

Ngày tải lên: 07/08/2014, 13:21

... particular, the cells in a good ˜ Λ-configuration all lie in the fi rs t m rows of ˜ Λ, and thus the concept of good ˜ Λ-configuration on l y depends on the fe rmionic portion of ˜ Λ. We will now see that ... combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an i...

Ngày tải lên: 07/08/2014, 21:21

... 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 ... pr on RC and conjectured [14, Conjecture 4.12] that pr corresponds to the promotion operator pr under the bijection Φ. Several necessary conditions of promotion operators w...

Ngày tải lên: 08/08/2014, 12:22

... Youngkuk Kim 1 , Jinjoo Park 1 , and Junsin Yi* 1 1 School of Information and Communication Engineering, Sungkyunkwan University, 300 Cheoncheon-dong, Jangan-gu, Suwon, 440-746, South Korea 2 Photovoltaic ... depth of about 810 nm, because of the smaller energy bandgap of the nanocrystalline silicon, an opposite banding occurs at the valence band. It helps generated holes...

Ngày tải lên: 20/06/2014, 20:20