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国家自然科学基金(10931006): 作品数：15被引量：19H指数：2; 导出分析报告; 相关作者：唐丽丹陈福林夏章生谭绍滨林增强更多>>; 相关机构：厦门大学江苏师范大学福州大学华侨大学更多>>; 相关期刊：《Science China Mathematics》《数学年刊（A辑）》《Acta Mathematica Sinica,English Series》《Acta Mathematica Scientia》更多>>; 相关主题：RECOLLEMENTTILTINGCATEGORYLIE_ALGEBRAMODULE更多>>; 相关领域：理学自然科学总论一般工业技术自动化与计算机技术更多>>

Quasi-binomial coefficients stemming from Nakayama algebras被引量：3: 《Science China Mathematics》2014年第7期1545-1552,共8页HOU RuChen ZHANG GuangLian; supported by Shandong Provincial Natural Science Foundation of China (Grant No.ZR2011AM005);National Natural Science Foundation of China (Grant No.10931006);Shanghai Municipal Natural Science Foundation (Grant No.12ZR1413200); It is known that there is a very closed connection between the set of non-isomorphic indecomposable basic Nakayama algebras and the set of admissible sequences.To determine the cardinal number of all nonisomorphic ind...; 关键词：Nakayama algebra Kupisch series admissible sequence binomial coefficient quasi-binomial coefficient

Abelianness of the “missing part” from a sheaf category to a module category被引量：2: 《Science China Mathematics》2014年第2期245-258,共14页CHEN JianMin LIN YaNan RUAN ShiQuan; supported by National Natural Science Foundation of China(Grant Nos.11201386,10931006,11071040 and 11201388);the Natural Science Foundation of Fujian Province of China(Grant No.2012J05009); This paper investigates the structure of the"missing part"from the category of coherent sheaves over a weighted projective line of weight type(2,2,n)to the category of finitely generated right modules on the associate...; 关键词：tilting object torsion pair weighted projective line factor category T-STRUCTURE

POLYNOMIAL REPRESENTATIONS OF THE AFFINE NAPPI-WITTEN LIE ALGEBRA H_4被引量：1: 《Acta Mathematica Scientia》2012年第6期2105-2118,共14页陈雪黄智力; Supported in part by NSFC(10871125,10931006);a grant of Science and Technology Commission of Shanghai Municipality(09XD1402500); In this paper, the representation theory for the arlene Lie algebra H4 associated to the Nappi-Witten Lie algebra H4 is studied. Polynomial representations of the affine Nappi-Witten Lie algebra H4 are given.; 关键词：affine Nappi-Witten Lie algebra POLYNOMIAL REPRESENTATION

Constructing irreducible integrable modules for extended baby TKK algebra: 《Science China Mathematics》2012年第12期2417-2432,共16页CHANG XueWu CHEN FuLin TAN ShaoBin; supported by National Natural Science Foundation of China (Grant No.10931006);the PhD Programs Foundation of Ministry of Education of China (Grant No. 20100121110014); In this paper, we give explicit realizations for the irreducible integrable modules, which were clas- sified in Chang and Tan [Pacific J Math, 2011, 252: 293-312], of the extended baby TKK algebra. Moreover, condition...; 关键词：TKK algebra extended affine Lie algebra integrable module unitary module

On representations of real Jacobi groups: 《Science China Mathematics》2012年第3期541-555,共15页SUN BinYong; supported by National Natural Science Foundation of China(Grant Nos. 10801126 and 10931006); We consider a category of continuous Hilbert space representations and a category of smooth Fr'echet representations,of a real Jacobi group G.By Mackey's theory,they are respectively equivalent to certain categories o...; 关键词：Jacobi group Heisenberg group irreducible representation matrix coefficient Gelfand-Kazhdancriterion

幂等完备化,Serre函子与Recollement: 《厦门大学学报（自然科学版）》2011年第4期661-664,共4页唐丽丹; 国家自然科学基金项目(10931006);福州大学科技发展基金项目(0460-022345;2011-XQ-22); 给定加法范畴A,证明了若A存在右（左）Serre函子,则其幂等完备化范畴A-存在右（左）Serre函子.在此基础上,说明了对三角范畴上的recollementD′ D D″,若D存在Serre函子,则-D允许两个关于-D″及-D′的反射recolle-ments.作为应用,证明...; 关键词：幂等完备化 Serre函子 RECOLLEMENT 反射recollement T-结构

Toroidal李代数的结构与表示被引量：1: 《厦门大学学报（自然科学版）》2011年第2期149-164,共16页谭绍滨陈福林; 国家自然科学基金项目(10931006); 关于Toroidal李代数结构和表示理论的进行综述.介绍了Toroidal李代数的发展历史、结构理论、表示理论以及扭Toroidal李代数与高维仿射李代数的关系,扭Toroidal李代数的不可约表示等.; 关键词：TOROIDAL李代数结构表示扭Toroidal李代数

Graded Automorphism Group of TKK Lie Algebra over Semilattice被引量：1: 《Acta Mathematica Sinica,English Series》2011年第3期537-544,共8页Zhang Sheng XIA; Supported by National Natural Science Foundation of China （Grant No. 10931006） and Foundation of Educational Department of Hubei Province in China （Grant No. B200529001） The author is grateful to the referee for some helpful suggestions.; Every extended affine Lie algebra of type A1 and nullity v with extended affine root system R（A1, S）, where S is a semilattice in Rv, can be constructed from a TKK Lie algebra T（J（S）） which is obtained from the ...; 关键词：Graded automorphism group TKK Lie algebra SEMILATTICE

多重Loop李代数的Weyl模: 《厦门大学学报（自然科学版）》2011年第1期1-5,共5页常学武; 国家自然科学基金资助项目(10931006); 设g为任意有限维复单李代数及Aν=C[t1±1,…,tν±]为ν个交换变量的Laurent多项式环.令L(g)=g C[t1±1,…,tν±]为多重Loop李代数.考虑L(g)上的Weyl模,证明了这类模都是有限维的,并且在适当的条件下证明了由一个元素生成的多重Loop...; 关键词：多重Loop代数 WEYL模诱导模

Recollement导出的共变与反变有限子范畴被引量：1: 《厦门大学学报（自然科学版）》2011年第1期6-9,共4页唐丽丹; 国家自然科学基金资助项目(10931006);数学天元基金资助项目(10926041); 证明了若3个三角范畴允许有1个recollement,则recollement两端三角范畴上的共变有限子范畴可以诱导出中间三角范畴上的1个共变有限子范畴;对偶地,recollement两端三角范畴上的反变有限子范畴也可诱导出中间三角范畴上的1个反变有限子范...; 关键词：RECOLLEMENT 共变有限子范畴反变有限子范畴

国家自然科学基金(10931006)