共查询到20条相似文献,搜索用时 15 毫秒
1.
Mohan S. Putcha 《Algebras and Representation Theory》2004,7(1):59-66
We introduce the concept of a Brauer character of a representation of a finite monoid M in characteristic p>0. When p does not divide the order of any subgroup of M, we develop a theory of p-monoid quivers. We apply our results to the full transformation semigroup. 相似文献
2.
In this paper, we will develop the smash product of weak multiplier Hopf algebras unifying the cases of Hopf algebras, weak Hopf algebras and multiplier Hopf algebras. We will show that the smash product R#A has a regular weak multiplier Hopf algebra structure if R and A are regular weak multiplier Hopf algebras. We shall investigate integrals on R#A. We also consider the result in the ?-situation and new examples. Dually, we consider the smash coproduct of weak multiplier Hopf algebras under an appropriate form and integrals on the smash coproduct and we obtain results in the ?-situation. 相似文献
3.
S. Caenepeel F. Van Oystaeyen Y. H. Zhang 《Proceedings of the American Mathematical Society》2006,134(4):959-972
We consider the Brauer group of a group (finite or infinite) over a commutative ring with identity. A split exact sequence
is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of to the infinite case of . Here is the Brauer-Taylor group of Azumaya algebras (not necessarily with unit). The method developed in this paper might provide a key to computing the equivariant Brauer group of an infinite quantum group.
is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the case of a commutative ring, and generalizes the Picco-Platzeck exact sequence from the finite case of to the infinite case of . Here is the Brauer-Taylor group of Azumaya algebras (not necessarily with unit). The method developed in this paper might provide a key to computing the equivariant Brauer group of an infinite quantum group.
4.
In general the processes of taking a homotopy inverse limit of a diagram of spectra and smashing spectra with a fixed space do not commute. In this paper we investigate under what additional assumptions these two processes do commute. In fact we deal with an equivariant generalization that involves spectra and smash products over the orbit category of a discrete group. Such a situation naturally occurs if one studies the equivariant homology theory associated to topological cyclic homology. The main theorem of this paper will play a role in the generalization of the results obtained by Bökstedt, Hsiang and Madsen about the algebraic K-theory Novikov Conjecture to the assembly map for the family of virtually cyclic subgroups. 相似文献
5.
Kenjiro Ogawa 《Discrete Mathematics》2010,310(22):3276-3277
For a poset P=(X,≤), the upper bound graph (UB-graph) of P is the graph U=(X,EU), where uv∈EU if and only if u≠v and there exists m∈X such that u,v≤m. For a graph G, the distance two graph DS2(G) is the graph with vertex set V(DS2(G))=V(G) and u,v∈V(DS2(G)) are adjacent if and only if dG(u,v)=2. In this paper, we deal with distance two graphs of upper bound graphs. We obtain a characterization of distance two graphs of split upper bound graphs. 相似文献
6.
Alberto Elduque 《Transactions of the American Mathematical Society》2004,356(10):3963-3983
The centralizer algebra of the action of on the real tensor powers of its natural module, , is described by means of a modification in the multiplication of the signed Brauer algebras. The relationships of this algebra with the invariants for and with the decomposition of into irreducible submodules is considered.
7.
《Discrete Mathematics》2022,345(11):113113
8.
Olga Varghese 《Discrete Mathematics》2019,342(6):1812-1819
We obtain a complete classification of graph products of finite abelian groups whose Cayley graphs with respect to the standard presentations are planar. 相似文献
9.
S. Caenepeel F. Van Oystaeyen Y. H. Zhang 《Transactions of the American Mathematical Society》1997,349(9):3737-3771
Let be a Hopf algebra with bijective antipode. In a previous paper, we introduced -Azumaya Yetter-Drinfel'd module algebras, and the Brauer group classifying them. We continue our study of , and we generalize some properties that were previously known for the Brauer-Long group. We also investigate separability properties for -Azumaya algebras, and this leads to the notion of strongly separable -Azumaya algebra, and to a new subgroup of the Brauer group .
10.
M. A. Dubovitskaya 《Mathematical Notes》2007,81(5-6):753-756
The two-dimensional local field K = F q((u))((t)), char K = p, and its Brauer group Br(K) are considered. It is proved that, if L = K(x) is the field extension for which we have x p ? x = ut ?p =: h, then the condition that (y, f | h]K = 0 for any y ε K is equivalent to the condition f ε Im(Nm(L*)). 相似文献
11.
Timothy J. Ford 《代数通讯》2017,45(4):1416-1442
We study the Brauer group of an affine double plane π:X→𝔸2 defined by an equation of the form z2 = f in two separate cases. In the first case, f is a product of n linear forms in k[x,y] and X is birational to a ruled surface ?1×C, where C is rational if n is odd and hyperelliptic if n is even. In the second case, f = y2?p(x) is the equation of an affine hyperelliptic curve. For π as well as the unramified part of π, we compute the groups of divisor classes, the Brauer groups, the relative Brauer groups, and all of the terms in the sequences of Galois cohomology. 相似文献
12.
V. A. Krasnov 《Mathematical Notes》1996,60(6):707-710
13.
In this article necessary and sufficient conditions are given for the existence of an orthogonal basis consisting of standard (decomposable) symmetrized tensors for the class of tensors symmetrized using a Brauer character of the dihedral group. 相似文献
14.
15.
A graph Γ is said to be End-regular if its endomorphism monoid End(Γ) is regular. D. Lu and T. Wu [25] posed an open problem: Given a ring R, when does the zero-divisor graph Γ(R) have a regular endomorphism monoid? and they solved the problem for R a commutative ring with at least one nontrivial idempotent. In this paper, we solve this problem for zero-divisor graphs of group rings. 相似文献
16.
17.
The class of planar graphs has unbounded treewidth, since the k×k grid, ∀k∈N, is planar and has treewidth k. So, it is of interest to determine subclasses of planar graphs which have bounded treewidth. In this paper, we show that if G is an even-hole-free planar graph, then it does not contain a 9×9 grid minor. As a result, we have that even-hole-free planar graphs have treewidth at most 49. 相似文献
18.
Given a graph G=(V,E) with strictly positive integer weights ωi on the vertices iV, a k-interval coloring of G is a function I that assigns an interval I(i){1,…,k} of ωi consecutive integers (called colors) to each vertex iV. If two adjacent vertices x and y have common colors, i.e. I(i)∩I(j)≠0/ for an edge [i,j] in G, then the edge [i,j] is said conflicting. A k-interval coloring without conflicting edges is said legal. The interval coloring problem (ICP) is to determine the smallest integer k, called interval chromatic number of G and denoted χint(G), such that there exists a legal k-interval coloring of G. For a fixed integer k, the k-interval graph coloring problem (k-ICP) is to determine a k-interval coloring of G with a minimum number of conflicting edges. The ICP and k-ICP generalize classical vertex coloring problems where a single color has to be assigned to each vertex (i.e., ωi=1 for all vertices iV).Two k-interval colorings I1 and I2 are said equivalent if there is a permutation π of the integers 1,…,k such that ℓI1(i) if and only if π(ℓ)I2(i) for all vertices iV. As for classical vertex coloring, the efficiency of algorithms that solve the ICP or the k-ICP can be increased by avoiding considering equivalent k-interval colorings, assuming that they can be identified very quickly. To this purpose, we define and prove a necessary and sufficient condition for the equivalence of two k-interval colorings. We then show how a simple tabu search algorithm for the k-ICP can possibly be improved by forbidding the visit of equivalent solutions. 相似文献
19.
Kenjiro Ogawa 《Discrete Mathematics》2009,309(11):3659-3663
In the upper bound graph of a poset P, the vertex set is V(P) and xy is an edge if there exists an m∈V(P) with x,y≤Pm. We show some characterizations on split upper bound graphs, threshold upper bound graphs and difference upper bound graphs in terms of m-subposets and canonical posets. 相似文献
20.
V. A. Krasnov 《Mathematical Notes》2000,67(3):296-300
The Brauer group of a noncomplete real algebraic surface is calculated. The calculations make use of equivariant cohomology.
The resulting formula is similar to the formula for a complete surface, but the proof is substantially different.
Translated fromMatematicheskie Zametki, Vol. 67, No. 3, pp. 355–359, March, 2000. 相似文献