搜索结果: 1-13 共查到“知识库 泛代数理论”相关记录13条 . 查询时间(0.765 秒)
The Continuum Limit of Toda Lattices for Random Matrices with Odd Weights
Toda Lattices Continuum Limit Random Matrices Odd Weights
2011/7/7
This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continues an inves...
Based on invariant algebras, we introduce representations6−th of Lie algebras and representationsh4−thi of Leibniz algebras, give the extended P-B-W Theorems in the context of the new repr...
Let g be a complex, semisimple Lie algebra. Drinfeld showed that the quantum loop algebra U~(Lg) of g degenerates to the Yangian Y~(g). We strengthen this result by constructing an explicit algebra ho...
We study nongeneric planar trees and prove the existence of a Gibbs measure on infinite trees obtained as a weak limit of the finite volume measures.
Co-universal C*-algebras associated to generalised graphs
Higher rank graph co-universal algebra graph algebra Cuntz- Krieger algebra
2010/11/30
We introduce P-graphs, which are generalisations of directed graphs in which paths have a degree in a semigroup P rather than a length in N. We focus on semigroups P arising as part of a quasi-lattice...
On a class of n-Leibniz deformations of the simple Filippov algebras
n-Leibniz deformations simple Filippov algebras
2010/12/6
We study the problem of infinitesimal deformations of all real sim-ple finite-dimensional Filippov (or n-Lie) algebras considered as a class of n-Leibniz algebras characterized by having a n-bracket s...
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Supercharacters symmetric functions noncommuting variables related Hopf algebras
2010/12/9
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite
field, and the...
We introduce the concept of weight of a planar algebra P and construct a new planar algebra
referred as the perturbation of P by the weight. We establish a one-to-one correspondence between pivotal s...
Toward a salmon conjecture
salmon conjecture
2010/12/15
By using a result from the numerical algebraic geometry package Bertini we show that (with extremely high probability) a set of degree 6 and degree 9 polynomials cut out the secant variety 4(P2 × P2 ...
泛逻辑学中UB代数系统的（∈，∈∨q）-fuzzy滤子
泛逻辑学 UB代数系统 （∈,∈∨q）-fuzzy滤子
2009/12/10
何华灿教授给出了理想状态下的泛逻辑学的形式演绎系统β，并证明了该系统的可靠性。并且提出了理想状态下的泛逻辑学对应的代数系统-UB代数，并讨论了它们的性质。在以上这些结果的基础上，引入UB代数的（∈，∈∨q）-fuzzy滤子和（∈，∈∨q）-fuzzy关联滤子的概念，获得了它们的若干等价刻画，证明了（∈，∈∨q）-fuzzy关联滤子的扩张定理。
Ω-代数遗传性的注记
生成元 Ω-代数 同态映射 交换性
2008/4/27
探讨了Ω-代数的遗传性，即考察Ω-代数的生成元集的性质对Ω-代数自身性质的影响．证明了在一定条件下Ω-代数的交换性及从一个Ω-代数到另一个Ω-代数的同态映射都由Ω-代数的生成元集决定.
Applications of k-covers
selection principles $\omega$-cover $\gamma$-cover $k$-cover Hurewicz property $k$-groupability $k$-weak groupability game theory
2007/12/12
We investigate a role of $k$-covers in selection principles theory. Some results about relationships between Ramsey theory and game theory and selection principles that involve $k$-covers are also giv...
We give upper bounds on the size of the gap between a non-zero constant term and the next non-zero Fourier coefficient of an entire level two modular form. We give upper bounds for the minimum positiv...