共查询到20条相似文献,搜索用时 11 毫秒
1.
Weiqiang Wang 《中国科学 数学(英文版)》2018,61(2):385-390
We conjecture an explicit bound on the prime characteristic of a field, under which theWeyl modules of affine sl2 and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine sl2 is valid. 相似文献
2.
A. G. Bytsko 《Journal of Mathematical Sciences》2007,143(1):2754-2764
We study spectral decomposition of regular sl
2-invariant R-matrices R(λ) by the method of reduction of the Yang-Baxter equation to subspaces of a given spin. Restrictions
on the possible structure of several leading coefficients in the spectral decomposition are derived. The origin and structure
of the exceptional solution for spin s = 3 are explained. A similar analysis is performed for constant R-matrices. In particular,
it is shown that the permutation matrix ℙ is a “rigid” solution. Bibliography: 6 titles.
__________
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 335, 2006, pp. 100–118. 相似文献
3.
The main purpose of this paper is to use the strong stability method to approximate the characteristics of the M
2/G
2/1 queue with preemptive priority by those of the classical M/G/1 queue. The latter is simpler and more exploitable in practice. After perturbing the arrival intensity of the priority requests,
we derive the stability conditions and next obtain the stability inequalities with an exact computation of constants. From
those theoretical results, we elaborate an algorithm allowing us to verify the approximation conditions and to provide the
made numerical error. In order to have an idea about the efficiency of this approach, we consider a concrete example whose
results are compared with those obtained by simulation. 相似文献
4.
Nicolas Ginoux 《manuscripta mathematica》2008,125(3):383-409
We compute the fundamental Dirac operator for the three-parameter-family of homogeneous Riemannian metrics and the four different spin structures on SU2/Q8, where Q8 denotes the group of quaternions. We deduce its spectrum for the Berger metrics and show the sharpness of Christian Bär’s upper bound for the smallest Dirac eigenvalue in the particular case where SU2/Q8 is a homogeneous minimal hypersurface of S 4. 相似文献
5.
Andreas Bernig 《Israel Journal of Mathematics》2011,184(1):301-316
A Hadwiger-type theorem for the exceptional Lie groups G2 and Spin(7) is proved. The algebras of G2 or Spin(7) invariant, translation invariant continuous valuations are both of dimension 10. Geometrically meaningful bases
are constructed and the algebra structures are computed. Finally, the kinematic formulas for these groups are determined. 相似文献
6.
7.
Dror Bar-Natan Stavros Garoufalidis Lev Rozansky Dylan P. Thurston 《Israel Journal of Mathematics》2000,119(1):217-237
We conjecture an exact formula for the Kontsevich integral of the unknot, and also conjecture a formula (also conjectured
independently by Deligne [De]) for the relation between the two natural products on the space of uni-trivalent diagrams. The
two formulas use the related notions of “Wheels” and “Wheeing”. We prove these formulas ‘on the level of Lie algebras’ using
standard techniques from the theory of Vassiliev invariants and the theory of Lie algebras. In a brief epilogue we report
on recent proofs of our full conjectures, by Kontsevich [Ko2] and by DBN, DPT, and T. Q. T. Le, [BLT].
This paper is available electronically 相似文献
8.
In the space L2 of periodic functions, we establish exact (in the sense of constants) estimates from below for the deviation of the Steklov
functions of the first and second order in terms of the modulus of continuity of the second order. Similar results are also
established for even continuous periodic functions with nonnegative Fourier coefficients in the space C. Bibliography: 5 titles.
__________
Translated from Problemy Matematicheskogo Analiza, No. 35, 2007, pp. 79–90 相似文献
9.
A. G. Bytsko 《Journal of Mathematical Sciences》2010,168(6):805-810
We consider the spectral resolution of a Uq (sl
2)-invariant solution R of the constant Yang–Baxter equation in the braid group form. It is shown that if the two highest coefficients in this resolution
are not equal, then R is either the Drinfeld R-matrix or its inverse. Bibliography: 13 titles. 相似文献
10.
George P. Cosmetatos 《The Journal of the Operational Research Society》1983,34(9):899-902
A simple approximate formula for the steady-state average number of customers in the Exk/M/1 queueing system is derived and evaluated. The formula is very accurate: the errors incurred are small and insensitive to the shape of the batch-size distribution and to the values of the parameters involved; in the special case where the batch size has a geometric distribution, the formula appears to be exact. 相似文献
11.
We prove the existence of abelian, solvable and nilpotent definable envelopes for groups definable in models of an NTP2 theory. 相似文献
12.
Winfried Kohnen 《Monatshefte für Mathematik》2004,143(2):163-167
We point out that the formalism of the trace map and reduction modulo p can be used to give a short proof for the fact first proved by Ogg that is not a Weierstrass point on X0(pM) where p is a prime not dividing M and the genus of X0(M) is zero. 相似文献
13.
In this work, we introduce Z3-graded quantum group GL\({_q(2,{\mathbb C})}\) with the help of Z3-graded quantum plane and a Z3-graded bicovariant differential calculus on the Z3-graded quantum group GL q (2). The corresponding Z3-graded quantum Lie superalgebra is obtained. 相似文献
14.
B. I. Peleshenko 《Ukrainian Mathematical Journal》2005,57(11):1741-1762
We prove theorems on interpolation of quasilinear operators of weak type (ϕ0, ψ0, ϕ0, ψ1) in Lorentz spaces. The operators under study are analogs of the Calderón operator and the Benett operator for concave and
convex functions ϕ0(t), ψ0(t), ϕ1(t), and ψ1(t).
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1490–1507, November, 2005. 相似文献
15.
The explicit formulas for the sums of positive powers of the
integers
unrepresentable by the triple of integers
, are derived. 相似文献
16.
B. N. Yengibaryan N. B. Yengibaryan 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2018,53(6):317-320
In this paper we obtain a sufficient condition for quite continuity of Fredholm type integral operators in the space L1(a, b). Uniform approximations by operators with degenerate kernels of horizontally striped structures are constructed. A quantitative error estimate is obtained. We point out the possibility of application of the obtained results to second kind integral equations, including convolution equations on a finite interval, equations with polar kernels, one-dimensional equations with potential type kernels, and some transport equations in non-homogeneous layers. 相似文献
17.
We show that several properties of the semisimple algebras carry over to a certain family of parabolic subalgebras of maximal
index in sln. More precisely we prove an analogue of Kostant's slice theorem [B. Kostant, Amer. J. Math. 85 (1963), 327-404] for these
algebras and construct a maximal Poisson commutative subalgebra in the symmetric algebra, following the theory presented in
[A.S. Mishchenko and A.T. Fomenko, Math. USSR-Izv. 12 (1978), 371-389]. These results are quite remarkable since these algebras
do not admit appropriate sl2-triples. 相似文献
18.
A Shilla graph is defined as a distance-regular graph of diameter 3 with second eigen-value θ1 equal to a3. For a Shilla graph, let us put a = a3 and b = k/a. It is proved in this paper that a Shilla graph with b2 = c2 and noninteger eigenvalues has the following intersection array: If Γ is a Q-polynomial Shilla graph with b2 = c2 and b = 2r, then the graph Γ has intersection array and, for any vertex u in Γ, the subgraph Γ3(u) is an antipodal distance-regular graph with intersection array The Shilla graphs with b2 = c2 and b = 4 are also classified in the paper.
相似文献
$$\left\{ {\frac{{{b^2}\left( {b - 1} \right)}}{2},\frac{{\left( {b - 1} \right)\left( {{b^2} - b + 2} \right)}}{2},\frac{{b\left( {b - 1} \right)}}{4};1,\frac{{b\left( {b - 1} \right)}}{4},\frac{{b{{\left( {b - 1} \right)}^2}}}{2}} \right\}$$
$$\left\{ {2tr\left( {2r + 1} \right),\left( {2r + 1} \right)\left( {2rt + t + 1} \right),r\left( {r + t} \right);1,r\left( {r + t} \right),t\left( {4{r^2} - 1} \right)} \right\}$$
$$\left\{ {t\left( {2r + 1} \right),\left( {2r - 1} \right)\left( {t + 1} \right),1;1,t + 1,t\left( {2r + 1} \right)} \right\}$$
19.
In this paper, we first give the definition of weakly (K1,K2-quasiregular mappings, and then by using the Hodge decomposition and the weakly reverse Hölder inequality, we obtain their regularity property: For anyq 1 that satisfies\(0< K_1 n^{(n + 4)/2} 2^{n + 1} \times 100^{n^2 } [2^{3n/2} (2^{5n} + 1)](n - q_1 )< 1\), there existsp 1=p 1(n,q 1,K 1,K 2)>n, such that any (K1, K2)-quasiregular mapping\(f \in W_{loc}^{1,q_1 } (\Omega ,R^n )\) is in fact in\(W_{loc}^{1,p_1 } (\Omega , R^n )\). That is, f is (K1,K2)-quasiregular in the usual sense. 相似文献
20.
In this article we construct a new simply connected symplectic 4-manifold with b2+=1 and c12=2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface
admits an exotic smooth structure. Mathematics Subject Classification (2000) 53D05, 14J26, 57R55, 57R57 相似文献