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B_n型仿射外尔群元素的一种表示式
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作者 陈承东 《同济大学学报(自然科学版)》 EI CAS CSCD 1993年第2期281-285,共5页
设W是仿射外尔群。H是对应的汉克代数。仿射外尔群的胞腔分解在汉克代数的表示论中发挥了重要的作用。而仿射外尔群的胞腔分解又依赖于集合L(x)和R(x)的确定。本文应用B_n型仿射外尔群元素的一种典范表示式描述了集合L(x)和R(x)。
关键词 仿射外尔群 表示式 胞腔
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关于Dn型外尔群的本原幂等元
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作者 胡峻 孙焕美 王世轩 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2021年第2期173-179,共7页
设n≥4是自然数,W(Dn)是Dn型的有限外尔群,设K是一个域且群代数K[W(Dn)]在域K上分裂半单.对于K[W(Dn)]的每一个单模U,精确构造了一个拟幂等元zU ∈K[W(Dn)],即存在cU∈K×,有zU2=cUzU,使得cU-1 zU为本原幂等元,并且zUK[W(Dn)]作为右... 设n≥4是自然数,W(Dn)是Dn型的有限外尔群,设K是一个域且群代数K[W(Dn)]在域K上分裂半单.对于K[W(Dn)]的每一个单模U,精确构造了一个拟幂等元zU ∈K[W(Dn)],即存在cU∈K×,有zU2=cUzU,使得cU-1 zU为本原幂等元,并且zUK[W(Dn)]作为右K[W(Dn)]-模同构于U.主要研究结果推广了 Dipper、James关于A型及B型外尔群半单群代数的本原幂等元的构造. 展开更多
关键词 外尔群 群代数 本原幂等元
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仿射Weyl群α值3的左胞腔
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作者 陈承东 《同济大学学报(自然科学版)》 EI CAS CSCD 1995年第2期197-199,共3页
找出了不可约仿射Weyl群所有α值为3的特异时合元,从而也给出了不可约仿射Weyl群α值为3的双边胞腔的左胞腔分解.
关键词 胞腔 仿射外尔群 赫开代数
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D_0型仿射Weyl群α值4的双边胞腔
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作者 陈承东 《数学年刊(A辑)》 CSCD 北大核心 1995年第3期375-380,共6页
本文描述了型仿射Weyl群α值4的双边胞腔中所有左胞腔.
关键词 仿射外尔群 双边胞腔 左胞腔
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华东师范大学数学系大踏步前进——十年磨成一剑 今朝刮目相看
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《数学教学》 北大核心 1989年第2期32-33,15,共3页
这是今年元旦前夕刊于华东师范大学校刊上的一篇总结性报道。为了向中学教育界和选择志愿的高考学生介绍华东师大数学系,本刊特予转载,文字上略有增删。
关键词 十年 郑伟安 外尔群 中青年学者 普林斯 计算物理 《中国科学》 三代人 李代数 教师奖
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Distribution and diversity of microbial communities in meromictic soda Lake Doroninskoe(Transbaikalia,Russia) during winter 被引量:3
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作者 Evgeniya MATYUGINA Natalia BELKOVA 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2015年第6期1378-1390,共13页
Meromictic soda and saline lakes are unique ecosystems characterized by the stability of physical,chemical and biological parameters,and they are distributed all over the world.Lakes located in regions with average an... Meromictic soda and saline lakes are unique ecosystems characterized by the stability of physical,chemical and biological parameters,and they are distributed all over the world.Lakes located in regions with average annual negative air temperature are of particular interest because of the presence of two periods with intensive and dynamic processes:the so-called biological summer and the long ice season with the biological spring.Soda Lake Doroninskoe is located in Eastern Transbaikalia(51°14′N,112°14′E) in the permafrost zone in an extreme continental climate,and is covered by ice for seven months per year.The structure and diversity of the microbial communities throughout the water column of the lake was studied by 16 S r RNA gene amplicon metasequencing.Different species with specific functions were found to dominate at different depths.Metabolically flexible bacteria with a capacity to switch between anoxygenic photosynthesis and aerobic chemotrophic metabolism dominate in soda Lake Doroninskoe. 展开更多
关键词 bacterial diversity soda lake MEROMIXIS Lake Doroninskoe 16S rRNA genes high-throughput amplicon sequencing
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万花筒型散射的杨-Baxter方程组
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作者 葛墨林 祖延辉 张友金 《中国科学(A辑)》 CSCD 1993年第5期480-486,共7页
本文以根图及Weyl分类的B_n与D_n万花筒型散射所满足的杨-Baxter方程组,并证明它们在Coxeter 图端点具有反射行为,也讨论了它们的物理意义。
关键词 杨-B方程 外尔群 多体问题
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Scale dependence in the phylogenetic relatedness of alien and native taxa 被引量:2
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作者 Chris M.McGrannachan Gillis J.Horner Melodie A.McGeoch 《Journal of Plant Ecology》 SCIE CSCD 2020年第5期601-610,共10页
Aims Darwin’s naturalization hypothesis proposes that successfully established alien species are less closely related to native species due to differences in their ecological niches.Studies have provided support both... Aims Darwin’s naturalization hypothesis proposes that successfully established alien species are less closely related to native species due to differences in their ecological niches.Studies have provided support both for and against this hypothesis.One reason for this is the tendency for phylogenetic clustering between aliens and natives at broad spatial scales with overdispersion at fine scales.However,little is known about how the phylogenetic relatedness of alien species alters the phylogenetic structure of the communities they invade,and at which spatial scales effects may manifest.Here,we examine if invaded understorey plant communities,i.e.containing both native and alien taxa,are phylogenetically clustered or overdispersed,how relatedness changes with spatial scale and how aliens affect phylogenetic patterns in understorey communities.Methods Field surveys were conducted in dry forest understorey communities in south-east Australia at five spatial scales(1,20,500,1500 and 4500 m2).Standardized effect sizes of two metrics were used to quantify phylogenetic relatedness between communities and their alien and native subcommunities,and to examine how phylogenetic patterns change with spatial scale:(i)mean pairwise distance and(ii)mean nearest taxon distance(MNTD).Important Findings Aliens were closely related to each other,and this relatedness tended to increase with scale.Native species and the full community exhibited either no clear pattern of relatedness with increasing spatial scale or were no different from random.At intermediate spatial scales(20-500 m2),the whole community tended towards random whereas the natives were strongly overdispersed and the alien subcommunity strongly clustered.This suggests that invasion by closely related aliens shifts community phylogenetic structure from overdispersed towards random.Aliens and natives were distantly related across spatial scales,supporting Darwin’s naturalization hypothesis,but only when phylogenetic distance was quantified as MNTD.Phylogenetic dissimilarity between aliens and natives increased with spatial scale,counter to expected patterns.Our findings suggest that the strong phylogenetic clustering of aliens is driven by human-mediated introductions involving closely related taxa that can establish and spread successfully.Unexpected scale-dependent patterns of phylogenetic relatedness may result from stochastic processes such as fire and dispersal events and suggest that competition and habitat filtering do not exclusively dominate phylogenetic relationships at fine and coarse spatial scales,respectively.Distinguishing between metrics that focus on different evolutionary depths is important,as different metrics can exhibit different scale-dependent patterns. 展开更多
关键词 alien species community phylogenetics Darwin’s naturalization hypothesis spatial scale phylogenetic beta diversity
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