搜索结果: 31-45 共查到“知识库 范畴论”相关记录49条 . 查询时间(3.131 秒)
Autoequivalences of the tensor category of Uq(g)-modules
Autoequivalences tensor category of Uq(g)-modules
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2011/2/24
We prove that for q 2 C not a nontrivial root of unity the cohomology group defined by invariant 2-cocycles in a completion of Uqg is isomorphic to H2(P/Q; T), where P and Q are the weight and root l...
On many-sorted $\omega$-categorical theories
many-sorted $\omega$-categorical theories
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2011/2/24
We prove that every many-sorted !-categorical theory is com-pletely interpretable in a one-sorted !-categorical theory. As an ap-plication, we give a short proof of the existence of non G–compact !-ca...
Heisenberg algebra and a graphical calculus
Heisenberg algebra graphical calculus
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2010/12/8
A new calculus of planar diagrams involving diagrammatics for biadjoint func-tors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothend...
Expansions of abelian categories
Expansions abelian categories
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2010/12/8
Expansions of abelian categories are introduced. These are certain functors between abelian categories and provide a tool for induction/reduction arguments. Expansions arise naturally in the study of ...
On an algebraic version of the Knizhnik-Zamolodchikov equation
Knizhnik-Zamolodchikov equations difference op-erators connections
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2010/12/14
A difference equation analogue of the Knizhnik -Zamolodchikov equation is exhibited by developing a theory of the generating function H(z) of Hurwitz polyzeta functions to parallel that of the polylog...
Minimal infinite submodule-closed subcategories
Minimal infinite bmodule-closed subcategories
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2010/11/30
Let be an artin algebra. We are going to consider full subcategories of mod closed under finite direct sums and under submodules with infinitely many isomorphism classes of indecomposable modules. ...
An extension of the disc Algebra
Disc Algebra Mergelyan’s Theorem chordal metric polyno-mial approximation generic property
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2010/12/14
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...
Derived equivalence classification of symmetric algebras of polynomial growth
Symmetric algebra Polynomial growth Derived equivalence K¨ulshammer ideals
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2010/12/1
We complete the derived equivalence classification of all symmetric algebras of poly-nomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric a...
交换环上余模的比较定理
交换环 余模 比较定理
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2009/11/19
给出了有1的交换环上余模的比较定理成立的一个充分条件. 主要内容涉及到有1交换环上余模，投射余模，内射余模，内射分解，投射分解，同伦，比较定理.
有MP逆的Abel范畴中态射方程αxα*=β的非负定解
Abel范畴 MP逆 非负定态射 正定态射
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2009/11/12
该文讨论了有MP逆的Abel范畴中态射方程αxα*=β的非负定解和正定解．作为其应用，给出了p除环上矩阵方程AXA*=B的相关结果.
有限维模李超代数的上同调
限制李超代数 李超代数的上同调 $p$-多项式
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2009/11/2
应用\,Dzhumadildaev\,方法, 研究了有限维模李超代数的上同调问题.
通过研究包络代数的~$p$-中心对其表示的作用, 得到了有限维模李超代数的一个上同调消失定理.
并作为应用, 计算了一类~Cartan型李超代数的低阶上同调.
本文定义更具一般性的模(未必是有限生成投射模)的常秩的概念, 并证明了如果$M$有常秩$n$, $\bigwedge^nM$是有限生成的, 则$M$是有限生成的. 还证明了若$M$是有常秩$n$的投射模, 则$M$一定是有限生成的.
范畴中态射集减序的刻划
范畴 正则态射 广义逆 减序
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2007/12/12
本文研究了范畴中态射集减序的刻划问题，其主要结果是：（１）证得一般范畴情形减序的十四种刻划；（２）将Ｍｉｔｒａ、Ｂａｋｓａｌａｒｙ等人的利用（１）－逆、（１，２）－逆的包含关系及平行和来刻划复矩阵减序的结果推广到素性预加法范畴与带对合的正性预加法范畴中；（３）给出了１９８０年Ｈａｒｔｗｉｇ关于半群减序刻划的一个反例，因此否定了这个刻画．
量子群的基变换与范畴同构
Hopf代数 量子群 量子群的表示
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2007/12/12
令Ｍ是Z[v]的由v-1和奇素数p生成的理想，U是$A=Z[v]_M$上相伴于对称Ｃａｒｔａｎ矩阵的量子群，$A\rightarrow \Gamma$是环同态，$U_\Gamma =U_{\bigotimesA}\Gamma$.$\Gamma[U_\Gamma]$是$U_\Gamma$的量子坐标代数，本文建立了量子坐标代数的基变换：即在相关约束条件下有Г－Ｈｏｐｆ同构$A[U]_{\bigoti...