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Twisted Dickson-Mui invariants and the Steinberg module multiplicity
Twisted Dickson-Mui invariants Steinberg module multiplicity
2010/11/29
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...
On the weight distribution in level one Demazure modules of sl2hat
weight distribution level one Demazure modules of sl2hat
2010/12/7
We compute the covariance of the weight distribution in level 1 Demazure modules of bsl2. The crucial step is to compute the variance of the degree distribution. This also allows us to prove the weak ...
On saturated fusion systems and Brauer indecomposability of Scott modules
On saturated fusion systems Brauer indecomposability Scott modules
2010/12/6
Let p be a prime number, G a finite group, P a p-subgroup of G and k an algebraically closed field of characteristic p. We study the relationship between the category FP (G) and the behavior of p-perm...
We define tilting mutations of symmetric algebras as the endomorphism algebras of Okuyama-Rickard complexes. For Brauer tree algebras, we give an explicit description of the change of
Brauer trees un...
The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initi...
A note on the automorphism group of the root lattice of the U-dual modular group
topological M-theory the U-dual automorphic form Weyl group of the Udual
2010/12/15
We study the inclusion system of the quantum deformed 2 dimensional Yang-Mills root module to the graded root module of the U-dual modular group. The irreducible representation of the U-dual modular g...
On the Fourier coefficients of 2-dimensional vector-valued modular forms
Fourier coefficients 2-dimensional vector-valued modular forms
2010/11/30
Let : SL(2,Z) → GL(2,C) be an irreducible representation of the modular group such that (T) has finite order N. We study holomorphic vector-valued modular forms F( ) of integral weight associated ...
A note on the unirationality of a moduli space of double covers
Moduli spaces curves algebraic groups Chow groups
2010/12/10
In this note we look at the moduli space R3,2 of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Verra in [BCV].
Benford's Law For Coefficients of Modular Forms and Partition Functions
Benford's Law Coefficients of Modular Forms Partition Functions
2010/11/30
Here we prove that Benford’s law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessa...
Clifford modules and invariants of quadratic forms
Clifford modules invariants of quadratic forms
2011/2/22
For any integer k > 0, the Bott class k in topological complex K-theory is well known [7], [12, pg. 259].
模态谓词演算的判定问题(Ⅱ)——关于Slomson归约
2007/12/13
以M表示[2]中讨论过的模态谓词演算$S_\varepsilon^*$(它等价于[5]中的$S5^*$)的仅含唯一的一目谓词字母K的子系统,以$B_o^N$表域为N的$B_o$值全函项一目Boole代数,此处N为全体自然数所成之集,$B_o$为二元Boole代数、本文证明了如下结果: M中的定理(即在$S_\varepsilon^*$中可证明的语句)所成之集和在一非空有穷集上对$B_o^N$可驳的...
本文讨论模的对偶余模，把代数的（有限）对偶余代数的有关结论完整地推广到模的对偶余模上．作为这个理论的应用，我们给出一个例子说明Ｈ－模代数Ａ的对偶Ａ°不一定是Ｈ°－余模余代数
关于$\alpha n^k$模1的分布
模1分布 指数
2007/12/12
讨论了$\alphan^k$模１的分布，证明了对于$k\geq8$有无穷多个自然数ｎ满足$\parallel \alpha n^k \parallel \leq n^{-1/(10k)}$.
本文定义了Ｋａｃ－Ｍｏｏｄｙ代数的一个新的可积模范畴，并且给出了一个可积模是否属于这个模范畴的一个判别准则．另外还详细研究了这个模范畴中的可积模的权系。特别我们定义了虚权和实权。还详细地计算了一些模的虚权和实权，还给出了双曲型广义Ｃａｒｔａｎ矩阵的新刻划．这使我们能够计算一些双曲型Ｋａｃ－Ｍｏｏｄｙ代数的可积模的权。