搜索结果: 1-8 共查到“组合数学 Algebras”相关记录8条 . 查询时间(0.027 秒)
Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals
Symmetric chain decomposition Boolean algebras cyclic crystals
2011/9/15
Abstract: The quotient of a Boolean algebra by a cyclic group is proven to have a symmetric chain decomposition. This generalizes earlier work of Griggs, Killian and Savage on the case of prime order,...
Topological algebras of rapidly decreasing matrices and generalizations
Rapidly decreasing matrix weighted matrix algebra continuous inverse algebra
2011/2/21
It is a folklore fact that the rapidly decreasing matrices of countable size form an associative topological algebra whose set of quasi-invertible elements is open, and such that the quasi-inversion m...
Poisson algebras and symmetries of block-upper-triangular matrices
Poisson algebras symmetries of block-upper-triangular matrices
2011/2/25
Using the structure of algebroid of block-upper-triangular matri-ces composed from blocks of size m×m we obtain the Poisson brackets on the entries of these matrices and construct the braid-group acti...
Loop models, random matrices and planar algebras
Loop models random matrices planar algebras
2011/1/17
We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumu-lation point. The latter can also be seen as moments of a ...
The Kadison-Singer problem for the direct sum of matrix algebras
Kadison-Singer problem direct sum of matrix algebras
2010/12/3
Let Mn denote the algebra of complex n×n matrices and write M for the direct sum of the Mn. So a typical element of M has the form x = x1 ⊕ x2 · · · ⊕ xn ⊕ · · · ,where xn ∈ Mn and kxk = supn kxnk. We...
Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra
Graded algebra fine grading Weyl group octonions Albert algebra
2010/12/1
Given a grading : A = Lg2G Ag on a nonassociative algebra A by an abelian group G.
Free probability, Planar algebras, Subfactors and Random Matrices
Free probability von Neumann algebra random matrix subfactor planar algebra
2010/11/30
To a planar algebra P in the sense of Jones we associate a natural non-commutative ring, which can be viewed as the ring of non-commutative polynomials in several indeterminates, invariant under a sym...
Polynomial realizations of some combinatorial Hopf algebras
Hopf algebras of decorated rooted trees Free quasi-symmetric functions
2010/12/3
We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from the Connes-Kreimer al...