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Weakly Ordered Multiplicative Basis of An Algebra Related to Quiver Theory
ordered multiplicative basis quiver generalized path algebra skew group algebra
2018/4/19
In this paper, for an algebra, weakly ordered multiplicative basis with weakly admissibleorder is introduced as an invariant under almost Morita equivalence and it is shown that an algebra with weakly...
Supports of representations of the rational Cherednik algebra of type A
representations rational Cherednik algebra of type A
2011/1/21
We first consider the rational Cherednik algebra corresponding to the action of a finite group on a complex variety, as defined by Etingof. We define a category of representations of this algebra whic...
On Conjugation in the Mod-p Steenrod algebra
Steenrod algebra anti-automorphism Milnor basis
2010/3/1
In this paper we prove a formula involving the canonical anti-automorphism c of the mod-p Steenrod algebra.
The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be describable in terms of K-theory. This is a join...
A centerless representation of the Virasoro algebra associated with the unitary circular ensemble
Virasoro algebra unitary circular ensemble
2010/4/1
We consider the 2-dimensional Toda lattice tau functions $\tau_n(t,s;\eta,\theta)$ deforming the probabilities $\tau_n(\eta,\theta)$ that a randomly chosen matrix from the unitary group U(n), for the ...
Yang-Baxter operators from algebra structures and Lie superalgebras
Yang-Baxter operators algebra structures Lie superalgebras
2010/11/29
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra struc-tures. In the last section, we present enhanced versions of Theo...
In this paper, we prove that there is a natural equivalence between the category ${\scr F}_1(x)$ of Koszul modules of complexity $1$ with filtration of given cyclic modules as the factor modules of an...
Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
the twisted Heisenberg--Virasoro algebra weight modules support
2007/12/11
We show that the support of an irreducible weight module over the twisted Heisenberg--Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all n...
The Existence of Maximal $W^*$-Closed Submodules in Nest Algebra Modules
Finite-partition submodule Finite Finite rank operator $w^{*}$-closure
2007/12/11
Using the technique of annihilators, we characterize the $w^{*}$-closure of the finite-partition submodule ${{\mathscr R}({\mathscr N}, \sim)}$ of a weakly closed nest algebra module ${\mathscr U}$ co...
摘要 In this paper we give the definition of super hyperbolic type Kac-MoodyLie algebra and discuss its imaginary roots systems. Finally, we give the necessary and sufficient condition for Cartan matric...
In this paper, introducing the concept of“quasi- permutation”,we solve the sign problem often met with when the operation is carried out in the incommutable Clifford algebra, and using the results in ...
Fuzzy Interval-valued Processes Algebra
2007/7/28
会议信息
篇名
Fuzzy Interval-valued Processes Algebra
语种
英文
撰写或编译
作者
陈仪香,周洁
第一作者单位
会议名称
In S. Barry Cooper et al, Editors, CiE 2005: New Computational Paradigms ,X-200501 ,ILLC Scientific Publications, Univ...
Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, jointly with ...
ILAS - The International Linear Algebra Society - was founded in 1989 as the successor to the International Matrix Group which was established in 1987. The general goal of ILAS is to encourage activit...
Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams
Representations of the Temperley-Lieb Algebra New Inner Product Half-Diagrams
2011/1/17
The Temperley-Lieb algebra is an algebra given by generators and relations which arose in a problem in statistical mechanics considered by Temper-ley and Lieb [8]. Since then the algebra has been used...