Our purpose in these notes is to present a result for a specific Nakayama Algebra. In essence, it affirms that for any order of simple modules, the cyclic Nakayama Algebras with relations (i.e. ) are not standardly st...Our purpose in these notes is to present a result for a specific Nakayama Algebra. In essence, it affirms that for any order of simple modules, the cyclic Nakayama Algebras with relations (i.e. ) are not standardly stratified or costandardly stratified.展开更多
Let A = kQ/I be a finite-dimensional Nakayama algebra, where Q is an Euclidean diagram An for some n with cyclic orientation, and I is an admissible ideal generated by a single monomial relation. In this note we deter...Let A = kQ/I be a finite-dimensional Nakayama algebra, where Q is an Euclidean diagram An for some n with cyclic orientation, and I is an admissible ideal generated by a single monomial relation. In this note we determine explicitly all the Hochschild homology and cohomology groups of A based on a detailed description of the Bardzell complex. Moreover, the cyclic homology of A can be calculated in the case that the underlying field is of characteristic zero.展开更多
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...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 indecomposable basic Nakayama algebras,we describe the cardinal number of the set of all t-length admissible sequences using a new type of integers called quasi-binomial coefficients.Furthermore,we find some intrinsic relations among binomial coefficients and quasi-binomial coefficients.展开更多
Poincaré-Birkhoff-Witt(PBW)deformations of Artin-Schelter regular algebras are skew CalabiYau.We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations.Some Cala...Poincaré-Birkhoff-Witt(PBW)deformations of Artin-Schelter regular algebras are skew CalabiYau.We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations.Some Calabi-Yau properties are generalized without Koszul assumption.We also show that the Nakayama automorphisms of such PBW deformations control Hopf actions on them.展开更多
分别采用窗口滑移、Kameda多重滤波和Nakayama窄带滤波方法得到El Centro NS地震记录的渐进谱,经比较,选择Nakayama方法用于本文的渐进谱研究。分析了有限带宽白噪声、强度非平稳时程与实际地震记录的渐近谱,发现可从渐进谱分布规律的...分别采用窗口滑移、Kameda多重滤波和Nakayama窄带滤波方法得到El Centro NS地震记录的渐进谱,经比较,选择Nakayama方法用于本文的渐进谱研究。分析了有限带宽白噪声、强度非平稳时程与实际地震记录的渐近谱,发现可从渐进谱分布规律的角度解释这些时程的特性差异。在Nakayama方法基础上建立了一个地震动合成模型,指出地震动时程的幅值和频率非平稳应同时与渐进谱和时频非平稳的相位相关。由本文和Kameda模型合成时程与实际地震动记录的渐进谱和相位的对比分析表明,依照本文模型合成时程的渐进谱和相位同时表现为时频非平稳,这与实际地震记录的特性完全相符。展开更多
文摘Our purpose in these notes is to present a result for a specific Nakayama Algebra. In essence, it affirms that for any order of simple modules, the cyclic Nakayama Algebras with relations (i.e. ) are not standardly stratified or costandardly stratified.
基金National Natural Science Foundation of China (Grant Nos.10426014 and 10501010)
文摘Let A = kQ/I be a finite-dimensional Nakayama algebra, where Q is an Euclidean diagram An for some n with cyclic orientation, and I is an admissible ideal generated by a single monomial relation. In this note we determine explicitly all the Hochschild homology and cohomology groups of A based on a detailed description of the Bardzell complex. Moreover, the cyclic homology of A can be calculated in the case that the underlying field is of characteristic zero.
基金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)
文摘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 indecomposable basic Nakayama algebras,we describe the cardinal number of the set of all t-length admissible sequences using a new type of integers called quasi-binomial coefficients.Furthermore,we find some intrinsic relations among binomial coefficients and quasi-binomial coefficients.
基金supported by National Natural Science Foundation of China(Grant No.11271319)
文摘Poincaré-Birkhoff-Witt(PBW)deformations of Artin-Schelter regular algebras are skew CalabiYau.We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations.Some Calabi-Yau properties are generalized without Koszul assumption.We also show that the Nakayama automorphisms of such PBW deformations control Hopf actions on them.
文摘分别采用窗口滑移、Kameda多重滤波和Nakayama窄带滤波方法得到El Centro NS地震记录的渐进谱,经比较,选择Nakayama方法用于本文的渐进谱研究。分析了有限带宽白噪声、强度非平稳时程与实际地震记录的渐近谱,发现可从渐进谱分布规律的角度解释这些时程的特性差异。在Nakayama方法基础上建立了一个地震动合成模型,指出地震动时程的幅值和频率非平稳应同时与渐进谱和时频非平稳的相位相关。由本文和Kameda模型合成时程与实际地震动记录的渐进谱和相位的对比分析表明,依照本文模型合成时程的渐进谱和相位同时表现为时频非平稳,这与实际地震记录的特性完全相符。
