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1.
Mathematical Notes - 相似文献
2.
Alistair Savage 《Algebras and Representation Theory》2006,9(2):161-199
For irreducible integrable highest weight modules of the finite and affine Lie algebras of type A and D, we define an isomorphism between the geometric realization of the crystal graphs in terms of irreducible components of Nakajima
quiver varieties and the combinatorial realizations in terms of Young tableaux and Young walls. For type An(1), we extend the Young wall construction to arbitrary level, describing a combinatorial realization of the crystals in terms
of new objects which we call Young pyramids.
Presented by P. Littleman
Mathematics Subject Classifications (2000) Primary 16G10, 17B37.
Alistair Savage: This research was supported in part by the Natural Sciences and Engineering Research Council (NSERC) of Canada
and was partially conducted by the author for the Clay Mathematics Institute. 相似文献
3.
4.
《合成通讯》2013,43(8):1067-1076
Abstract The Gabriel–Cromwell method is applied successfully in the synthesis of ferrocenyl‐substituted aziridines. Acryloyl‐ and crotonoylferrocenes are brominated first and then reacted with benzylamine, diisopropylamine, and furfurylamine in the presence of triethylamine. The aziridines are obtained in more than 90% isolated yields. 相似文献
5.
Abigail C. Bailey 《代数通讯》2017,45(6):2662-2672
We extend the definition of a piecewise Noetherian ring to the noncommutative case, and investigate various properties of such rings. In particular, we show that a ring with Krull dimension is piecewise Noetherian. Certain fully bounded piecewise Noetherian rings have Gabriel dimension and exhibit the Gabriel correspondence between prime ideals and indecomposable injective modules. 相似文献
6.
For a finite dimensional semisimple Lie algebra
and a root q of unity in a field k, we associate to these data a double quiver
. It is shown that a restricted version of the quantized enveloping algebras
is a quotient of the double quiver algebra
.*The author is partially supported by the National Science Foundation of China (Grant. 10271014) and Natural Science Foundation of Beijing City (grant. 1042001) 相似文献
7.
Let A be a finite-dimensional algebra over a field k. The derived Picard group DPic
k
(A) is the group of triangle auto-equivalences of D>
b( mod A) induced by two-sided tilting complexes. We study the group DPic
k
(A) when A is hereditary and k is algebraically closed. We obtain general results on the structure of DPic
k
, as well as explicit calculations for many cases, including all finite and tame representation types. Our method is to construct a representation of DPic
k
(A) on a certain infinite quiver irr. This representation is faithful when the quiver of A is a tree, and then DPic
k
(A) is discrete. Otherwise a connected linear algebraic group can occur as a factor of DPic
k
(A). When A is hereditary, DPic
k
(A) coincides with the full group of k-linear triangle auto-equivalences of Db( mod A). Hence, we can calculate the group of such auto-equivalences for any triangulated category D equivalent to Db( mod A. These include the derived categories of piecewise hereditary algebras, and of certain noncommutative spaces introduced by Kontsevich and Rosenberg. 相似文献
8.
OBUL Abdukadir College of Mathematics System Sciences Xinjiang University Urumqi China PANG YaLi 《中国科学A辑(英文版)》2008,(6)
By using Frobenius maps and F-stable representations,we count the number of isomor- phism classes of indecomposable representations with the fixed dimension vector of a species of type _n over a finite field,first,and then,as an application,give a q-analogue of the Weyl-Kac denominator identity of type _n. 相似文献
9.
本文研究在自然扩张和嵌入下特殊线性群和一般线性群的有限子群的McKay 箭图间的关系. 我们证明在特定条件下, 一般线性群GL(m;C) 的有限子群G的McKay 箭图是其正规子群G∩SL(m;C)的McKay 箭图的正则覆盖, 而当把G 嵌入SL(m+1;C) 时, 新的McKay 箭图由在原来的McKay 箭图的每一顶点加上一个由其Nakayama 平移到其自身的箭向得到. 作为例子, 我们指出如何用这些方法得到一些有趣的McKay 箭图. 相似文献
10.
T拟内射模与TQI环 总被引:2,自引:0,他引:2
本文定义并刻划了T拟内射模与T拟内射包,证明了WG-cocriticalT拟内射模的自同态环为正则非奇异右自内射环.最后讨论了T拟内射模与T内射模一致的环,即TQI环.还给出了Gabriel拓扑G中每个右理想T拟内射的几个等价条件 相似文献