Báo cáo toán học: "Symmetric functions for the generating matrix of the Yangian of gln(C)" ppt

... 1 A k R k,k+1  1 k  A k , the electronic journal of combinatorics 16 (2009), #R128 3 Symmetric functions for the generating matrix of the Yangian of gl n (C) Natasha Rozhkovskaya Department of Mathematics Kansas ... to the terms of the sum, we conclude that each of them has the form (−1) m−k− 1 e k (u)p − m−k (u − k), and the Newton’s formula for elemen...

Ngày tải lên: 08/08/2014, 01:20

... 5, µ 2 ∆ ≥  n t  4 p 2t 2 t 2  n t  2 p 2t 2 ϕ(1, 1) 10 the electronic journal of combinatorics 4 (1997), #R18 6 2. PROOFS Proof of the Theorem: We have already provided a proof of the second part of the theorem using nothing more ... ∼ 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...

Ngày tải lên: 07/08/2014, 06:20

Ngày tải lên: 05/08/2014, 15:20

... X(ζ |C|−1 ). These fixed point set sizes determine the cycle structure of the canonical image of ω in the group of permutations of X, S X . Therefore, to find the cycle structure of the image of any ... heights of n 2 and n 2 −1 (i.e., whether n 2 is below or not) are the same in S as in T . This completes the proof. This lemma yields the desired result for X(q)....

Ngày tải lên: 08/08/2014, 12:22

... that if the type of V is either too large or too small, then [U, V ] per ∈I S (X, Y ). Therefore, Theorem 3.7 and equation (3.17) imply an algorithm for the expansion of any element of P (X, ... C − S,T are analogues of coinvariant rings in an exterior algebra setting. The proofs of these theorems include algorithms for expanding elements of these modules in terms of...

Ngày tải lên: 07/08/2014, 07:21

Ngày tải lên: 05/08/2014, 15:20

... (5.4) by linearity. The following is an analogue of the duality properties of the classical bases of the ring of symmetric functions; see [15, Chapter I]. the electronic journal of combinatorics ... the set of all partitions and y = (y 1 , y 2 , . . . ) is a set of variables. The dual Schur functions s λ (x||a) are elements of the extended ring  Λ(x||a) o...

Ngày tải lên: 07/08/2014, 21:21

... obtained by placing the vertices of a set of representatives for the symmetry orbits S(v) = {Φ(x)(v)| x ∈ S} into ‘generic’ positions. The positions for the remaining vertices of G are then uniquely determined ... A ′ )| − 4. the electronic journal of combinatorics 17 (2010), #R154 39 proofs of the corresponding Laman-type t heorems for the groups C 2 and C s ....

Ngày tải lên: 08/08/2014, 12:23

... consider that the sensing information we capture from the environment may contain errors. Then we describe the potential consequence of such errors on the performance of class of algorithms previously classified. Due ... discussion where the problem of decision making in the context of sensing errors is clearly formalized and the impact of such errors on the conside...

Ngày tải lên: 20/06/2014, 20:20

... q-analogues of Riemann’s ζ -functions, the Hurwitz ζ -functions and the Didichlet’s L -functions Now, by evaluating the kth derivative of both sides of Lemma 3.1 at t = 0, we obtain the following B k (q)=  d dt  k F q (t ... ℂ p denote the ring of p -adic integers, the field of p- adic numbers, and the completion of the algebraic closure of ℚ p , respectively...

Ngày tải lên: 20/06/2014, 21:20