搜索结果: 1-15 共查到“代数学 Frobenius”相关记录17条 . 查询时间(0.031 秒)
Existence, uniqueness, universality and functoriality of the perfect locality over a Frobenius P-category
Existence functoriality of the perfect locality Frobenius P-category Group Theory
2012/7/9
Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category L^sc extending the full subcategory of F over the set of F-selfcentralizing subg...
On projective modules for Frobenius kernels and finite Chevalley groups
projective modules Frobenius kernels finite Chevalley groups Group Theory
2012/4/23
Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M...
Some graphical aspects of Frobenius structures
graphical aspects Frobenius structures Rings and Algebras
2012/3/1
We survey some aspects of Frobenius algebras, Frobenius structures and their relation to finite Hopf algebras using graphical calculus. We focus on the `yanking' moves coming from a closed structure i...
Abstract: The complete list of pairs of non-isomorphic finite simple groups having the same order is well-known. In particular for p>3, PSL_2(Z/p) is the "only" simple group of order (p^3-p)/2. It's l...
A note on the computation of the Frobenius number of a numerical semigroup
numerical semigroup Frobenius number monomial curve semigroup ideal
2011/8/26
Abstract: In this article we present a formula for the computation of the Frobenius number and the conductor of a numerical semigroup from the sockel of a quotient of certain semigroup ring.
F-signature of pairs and the asymptotic behavior of Frobenius splittings
F-signature Cartier algebra F-pure F-regular splitting prime F-splitting ratio
2011/8/26
Abstract: We generalize $F$-signature to pairs $(R,D)$ where $D$ is a Cartier subalgebra on $R$ as defined by the first two authors. In particular, we show the existence and positivity of the $F$-sign...
Twisted Frobenius-Schur indicators for Hopf algebras
semisimple Hopf algebra character Frobenius–Schur indicator automorphism
2011/8/25
Abstract: The classical Frobenius-Schur indicators for finite groups are character sums defined for any representation and any integer m greater or equal to 2. In the familiar case m=2, the Frobenius-...
A note on the Frobenius morphism on toric varieties
note Frobenius morphism toric varieties
2011/1/20
We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.
In this note we show that the restriction of the cotangent bundle $\Omega_{\mathbb P}^2$ of the projective plane to a Fermat curve $C$ of degree $d$ in characteristic $p \equiv -1 \mod 2d$ is, up to t...
Meander graphs and Frobenius Seaweed Lie algebras
Meander graphs Frobenius Seaweed Lie algebras
2010/11/11
The index of a seaweed Lie algebra can be computed from its associated meander graph. We examine this graph in several ways with a goal of determining families of Frobenius (index zero) seaweed algebr...
Heuristic formula for logarithm of the Frobenius morphism
Heuristic formula logarithm the Frobenius morphism
2010/11/15
We show that the logarithm $\log_q$ of the Frobenius morphism $x\to x^q$ is given by the formula $x\to x\log x$ (the natural logarithm). In particular, it does not depend on $q$. This is the explicit ...
On the structure of (co-Frobenius) Hopf algebras
the structure co-Frobenius Hopf algebras
2010/11/22
We introduce a new filtration on Hopf algebras, the standard filtration, generalizing the coradical filtration. Its zeroth term, called the Hopf coradical, is the subalgebra generated by the coradica...
We present a method to determine Frobenius elements in arbitrary Galois extensions of global fields, which may be seen as a generalisation of Euler’s criterion. It is a part of the general question ho...
余半单Hopf代数的Frobenius性质
Hopf代数 型 Frobenius性质
2008/7/2
设$k$是特征为$0$的代数闭域, $H$为其上的余半单Hopf代数.本文证明了当$H$有型: $l:1+m:p+1:q$ (其中$p^2
主要引入了弱entwined模上的弱度量, 并用它来考虑两个弱entwined模范畴之间的函子关系. 同时还给出了 弱entwined模的Frobenius性质和Maschke型定理.