共查询到20条相似文献,搜索用时 9 毫秒
1.
DENG Bangming 《中国科学A辑(英文版)》2000,43(11)
This paper gives a complete classification of F (Δ)-finite twisted double incidence algebras of posets in the case where the Hasse quivers of posets are of type An. 相似文献
2.
代数表示论的某些新进展 总被引:1,自引:0,他引:1
代数表示理论是代数学的一个新的重要分支,在近二十五年的时间里,这一理论有很大的发展,关于代数表示的基础理论的介绍可参见文献(101),本文主要从Hall代数和拟遗传代数两个方面介绍代数表示论的一些最新进展,第一章给出了Hall代数的基本理论及其方法,并且着重指出了利用这一理论和方法通过代数表示论去实现Kac-Moody李代数及相应的量子包络代数,第二章介绍了拟遗传代数及其表示理论,以及这一理论与复 相似文献
3.
4.
In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorphisms are exactly the one‐to‐one homomorphisms. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
5.
Let k be the algebraic closure of a finite field F_q and A be a finite dimensional k-algebra with a Frobenius morphism F.In the present paper we establish a relation between the stable module category of the repetitive algebra of A and that of the repetitive algebra of the fixed-point algebra A~F.As an application,it is shown that the derived category of A~F is equivalent to the subcategory of F-stable objects in the derived category of A when A has a finite global dimension. 相似文献
6.
Galina Filipuk Stefan Hilger 《Journal of Difference Equations and Applications》2016,22(10):1426-1437
In this paper we show that the q-deformed commutator for a ladder is related to the usual commutator of the modified ladder. In addition, we consider a family of ladders in the (q, h)-Weyl algebra, which gives a factorization of certain second order difference equations. 相似文献
7.
In this paper, using generating functions, we study two categories ? and ? of modules for twisted affine Lie algebras g ^ [σ], which were firstly introduced and studied for untwisted affine Lie algebras by H. -S. Li [Math Z, 2004, 248: 635-664]. We classify integrable irreducible g ^ [σ]-modules in categories ? and ? , where ? is proved to contain the well-known evaluation modules and ? to unify highest weight modules, evaluation modules and their tensor product modules. We determine also the isomorphism classes of those irreducible modules. 相似文献
8.
9.
WANG Minxiong~ LIN Yanan~.Department of Mathematics Huaqiao University Quanzhou China.Department of Mathematics Xiamen University Xiamen China 《中国科学A辑(英文版)》2005,48(1):97-106
Let T be a tilting A-module over a path algebra of Dynkin type.We prove thatif the indecomposable direct summands of T are in the different (?)-orbits of the AR-quiverof A,then T is a complete slice module. 相似文献
10.
We construct the Grothendieck rings of a class of 2n2dimensional semisimple Hopf Algebras H2n2,which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H2n2-modules are classified.Furthermore,we describe the Grothendieck rings r(H2n2)by generators and relations explicitly. 相似文献
11.
Kentaro Wada 《Advances in Mathematics》2010,224(2):539-560
We give a necessary and sufficient condition on parameters for Ariki-Koike algebras (resp. cyclotomic q-Schur algebras) to be of finite representation type. 相似文献
12.
13.
ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS 总被引:2,自引:0,他引:2
A useful reduction is presented to determine the finiteness of △-good module category F(△)of a quasi-heredltary algebra. As an application of the reduction, the f(△)-finitenetess of quasi-hereditary M-twisted double incidence algebras of posets is discussed. In particular, a complete classification of F(△)-finite M-twisted double incidence algebras is given in case the posets are linearly ordered. 相似文献
14.
ON Δ-GOOD MODULE CATEGORIES OF QUASI-HEREDITARY ALGEBRAS 总被引:2,自引:0,他引:2
ONΔ┐GOODMODULECATEGORIESOFQUASI┐HEREDITARYALGEBRAS**DENGBANGMING*XICHANGCHANG*ManuscriptreceivedJune12,1995.RevisedMay3,1996.... 相似文献
15.
Derivations and Automorphisms of the Positive Part of the Two-parameter Quantum Group Ur,s(B3) 下载免费PDF全文
We compute the derivations of the positive part of the two-parameter quantum group U_(r,s)(B_3) and show that the Hochschild cohomology group of degree 1 of this algebra is a threedimensional vector space over the base field C. We also compute the groups of(Hopf) algebra automorphisms of the augmented two-parameter quantized enveloping algebra ?_(r,s)~(≥0)(B_3). 相似文献
16.
ALONSO LVAREZ Jos Nicanor FERNNDEZ VILABOA Jos Manuel GONZLEZ RODRíIGUEZ Ramón SONEIRA CALVO Carlos 《中国科学 数学(英文版)》2011,(5)
In this paper we study the projections of weak braided Hopf algebras using the notion of Yetter-Drinfeld module associated with a weak braided Hopf algebra. As a consequence, we complete the study ofthe structure of weak Hopf algebras with a projection in a braiding setting obtaining a categorical equivalencebetween the category of weak Hopf algebra projections associated with a weak Hopf algebra H living in abraided monoidal category and the category of Hopf algebras in the non-strict braided monoidal cate... 相似文献
17.
18.
D. V. Reshetnikov 《Russian Mathematics (Iz VUZ)》2009,53(8):58-59
We adduce the results of the numerical experiment in calculating the spaces of local deformations of classical Lie algebras
of type B
n
and C
n
in characteristic p = 2.
Original Russian Text ? D.V. Reshetnikov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No.
8, pp. 71–72. 相似文献
19.
The automorphism groups of algebras are found in many papers. Using auto-invariance, we find the automorphism groups of the
Laurent extension of the polynomial ring and the quantum n-plane (respectively, twisting polynomial ring) in this work. As an application of the results of this work, we can find the
automorphism group of a twisting algebra. We define a generalized Weyl algebra and show that the generalized Weyl algebra
is simple. We also find the automorphism group of a generalized Weyl algebra. We show that the generalized Weyl algebra A
m,m+n
is the universal enveloping algebra of the generalized Witt algebra W(m,m + n).
This work was supported by 2007 Research fund of Hanyang University 相似文献
20.
Let A and H be Hopf algebra,T-smash product A (∞)T H generalizes twisted smash product A*H.This paper shows a necessary and sufficient condition for T-smash product module category A(∞)T H M to be braided monoidal category. 相似文献