A PRESENTATION FOR THE SYMPLECTIC BLOB ALGEBRA

A PRESENTATION FOR THE SYMPLECTIC BLOB ALGEBRA
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辛 Blob 代数的演示

DOI:
10.1142/s0219498812500600
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发表时间:
2012
影响因子:
0.8
通讯作者:
A. Parker
A. Parker
中科院分区:
数学3区
文献类型:
--
作者:
Richard Green;Paul Martin;A. Parker

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辛blob代数bn(n ∈ n)是一个有限维代数,它是在某些图的基础上由乘法规则定义的。bn的秩r(n)一般是未知的,但r(n)/n随n无限增长。对于每个bn,我们通过表示定义一个代数,使得生成元和关系的数量随n线性增长。我们证明了这些代数是同构的。
The symplectic blob algebra bn(n ∈ ℕ) is a finite-dimensional algebra defined by a multiplication rule on a basis of certain diagrams. The rank r(n) of bn is not known in general, but r(n)/n grows unboundedly with n. For each bn we define an algebra by presentation, such that the number of generators and relations grows linearly with n. We prove that these algebras are isomorphic.
DOI: 10.1016/j.jalgebra.2007.04.013
发表时间: 2007
期刊: Journal of Algebra
影响因子: 0.9
作者:
Martin P
通讯作者: Martin P