Báo cáo toán học: "The eigenvalues of the Laplacian for the homology of the Lie algebra corresponding to a poset" doc

... eigenvalues of the Laplacian L are the sum of the eigenvalues of L Y and the eigenvalues of L X evaluated simultaneously with the same poset tableau. 7 Homology The object of the paper is to get a step ... the theory of Lie algebras, and the homology of Lie algebras. We will always work over , the field of complex numbers. Lie algebras...

Ngày tải lên: 07/08/2014, 06:20

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Ngày tải lên: 05/08/2014, 15:21

... are square, hexagonal, and triangular grids along with their dimer counter- parts, and for all but the first family, the growth at z = −1 appears to be exponential. Acknowledgment This work was ... that the area of P is five and there are  a+ b−1 a 1  c+d−1 c−1  +  a+ b−1 a  c+d−1 c  tilings such that the area of P is four. Now, let us compute the total number of...

Ngày tải lên: 07/08/2014, 13:21

... for amplification of the NOX4 promoter were as follows: 5¢-AACAATCAGTCTAAAAGAGCTGTGTCTT CT-3¢ (forward for GC-box1), 5¢-CTCCAAAATACTGG CAAACATGTGAACAAT-3¢ (reverse for GC-box1), 5¢- TGAGTGGGCAGAGCTGACCCGGTGCGGGT-3¢ ... Biophys Acta 1789, 204–211. 23 Jinawath A, Miyake S, Yanagisawa Y, Akiyama Y & Yuasa Y (2005) Transcriptional regulation of the human DNA methyltransferase 3A...

Ngày tải lên: 29/03/2014, 00:20

... Lemma 2.2 to transform the random i 1 in (2.6 ) to zero and then a pplying Theorem 2.1. But in the proof there are many tedious transformations of the parameters, so we put the proof to the appendix ... {i h−1 }) has the same value a s C(U) + L ∗ (U | U). 4.3 Proof of the main theorem With Lemma 4.4 a nd Lemma 4.5, we are ready to prove the main theorem. Proo...

Ngày tải lên: 08/08/2014, 14:23

... here again. The main body of our paper starts with Section 2 where we explain the algebraic- combinatorial approach to the recognition problem for circulants we use and where the reduction to the ... when the graph G possesses a cyclic automorphism. For reaching our aims it is therefore unavoidable to call the reader’s attention to some particular facts concernin...

Ngày tải lên: 07/08/2014, 06:22

... the language of statistical mechanics β can be called a fugacity,andv is an activity. In these models the activity is a parameter which controls the strength of interaction of the paths with the ... −1 . For small values of a, the dominant singularity is the square root singularity of F and M at z =1/3. For large values of a, the dominant singularity is...

Ngày tải lên: 07/08/2014, 06:23

... induces a rainbow Λ. Therefore, there is no vertex of color 1 in the graph, a contradiction. Thus, each part V i has at least two vertices of color 4. Then, it is easy to see that there is always a ... =4,inwhichcaseall vertices of each layer have the same color. We can assume that all vertices of layer L i have color i, i =1, 2, 3, 4. But then it is easy to see that the...

Ngày tải lên: 07/08/2014, 13:21

... same idea as in the proof of Theorem 1. Let G be a graph, S a γ a (G)-set, W a maximal independent set of G and B a maximal independent set of N V \S (S)\N V \S (W ). Then W ∪B is a maximal independent ... parameters and other graph parameters valid for all graphs or in some classes of graphs. In [3], Chel- lali and Haynes compared in trees the independence number β...

Ngày tải lên: 07/08/2014, 21:20

... is to cause the background graph to contain a monochromatic copy of a given goal graph, and Painter’s goal is to prevent this. In the S k -game variant of the typical game, the background graph ... obtain the image of the leaf abutting y 0 , Builder again uses repeated applications of the Tree Extension Lemma to append a long red path to the tooth adjac...

Ngày tải lên: 08/08/2014, 14:23