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Cox rings of rational complexity one T-varieties
Cox ring branched coverings torus actions
2010/11/29
Let X be a Mori dream space together with an effective torus action of complexity one. In this note, we construct a polyhedral divisor DCox on a suitable finite covering of P1 which corresponds to the...
On Generalized Weil Representations over Involutive Rings
Weil representation generalized classical groups involutive analogues of classical groups
2010/11/30
We construct via generators and relations, generalized Weil representations for analogues
of classical SL(2, k), k a field, over involutive base rings (A, ∗). This family of groups
covers diff...
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
Nontrivial algebraic cycles Jacobian varieties of some quotients of Fermat curves
2010/11/26
We obtain the trace map images of the values of certain harmonic vol-umes for some quotients of Fermat curves. These provide the algorithm showing that the algebraic cycles called by k-th Ceresa cycle...
Hecke Ring of $(\symg{2n},\hypero{n})$: Generators and the Farahat-Higman Ring
20C08 33C80. Hecke algebra symmetric space Farahat-Higman ring center of the symmetric group ring
2010/12/14
In this work, we present a set of ring generators for the Hecke ring of the Gel’fand pair (S2n;Bn), where Bn is the hyperoctahedral subgroup of the symmetric group S2n, following the work of Farahat a...
Extensions of Toric Varieties
toric variety Hilbert function of a local ring tangent cone syzygy
2010/11/29
In this paper, we introduce the notion of “extension” of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being...
Different deformations of the Poincar´e symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2,R), Moyal). We present here the deformation of the Poincar&acut...
Computational LPPL Fit to Financial Bubbles
LPPL Fit Financial Bubbles log-periodic power law
2010/4/27
The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. If the on-going development of a bubble is suspected, asset prices can be fit numerically to the LPPL law. The b...
扭双指标代数的零关系Ringel对偶
拟遗传代数 Ringel对偶代数 扭双指标代数 广义V型偏序集
2009/12/23
部分解决了惠昌常提出的一个公开问题,给出了广义V型偏序集的对偶扩张代数的Ringel对偶代数的定义理想的生成元集, 证明了该类代数仍是零关系代数.
一类上三角矩阵环的Armendariz与半交换性质
Armendariz环 reduced环 上三角矩阵环 半交换环
2009/11/19
称环R是Armendariz环, 如果(∑mi=0aixi)(∑nj=0bjxj)=0∈R［x］, 那么aibj=0,其中0≤i≤m, 0≤j≤n。称环R是reduced环,如果它没有非零的幂零元。称环R是半交换环, 如果由ab=0,可得aRb=0,其中a,b∈R。找到了reduced环上的上三角矩阵环的一类子环既是Armendariz环又是半交换环。
讨论了斜半群环R* S为Artin环时，环R与半群5所应满足的必要与充分条件，从而对原有一些结果进行了推广。
带弱内射的Hopf代数结构
Hopf代数 交叉积 Smash积 弱内射
2009/10/22
利用已知Hopf代数构造新的Hopf代数是Hopf代数理论中最基本的问题之一．该文给出了Smash积A#H为Hopf代数，H是A#H的商Hopf代数， 且具有弱内射H→A#H的充分必要条件．易证，此种构造推广了Radford和Majid等人所构造的双积和双交叉积等结构．
交换群上Hopf路余代数的结构分类
Hopf代数 模 分歧
2009/10/21
设G是群, kG是域k上的群代数. 对任意Hopf箭向Q=(G, r), 利用右kZu(C) -模的直积范畴∏C∈K(G) MkZu(C)与kG-Hopf双模范畴kGkG MkGkG之间的同构, 可由u(C)(kQ1)1上的右kZu(C) -模结构导出在箭向余模kQ1上的kG-Hopf双模结构. 该文讨论在群G分别是2阶循环群与克莱茵四元群时的Hopf路余代数kQc的同构分类及其子Hopf代数kG...