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排序方式: 共有183条查询结果,搜索用时 15 毫秒
61.
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
62.
Let A be a three-point algebra with Gabriel quiver the system quiver Q, Then, up to isomorphism and duality, A is tame if and only if A is or degenerates to a factor of a tame algebra in the tame Table T if and only if A/rad5 A is tame, and A is wild if and only if A has a wild algebra in the wild Table W as a factor if and only if A is controlled wild. 相似文献
63.
Qin Yue 《Journal of Number Theory》2002,96(2):373-387
The paper is to investigate the structure of the tame kernel K2OF for certain quadratic number fields F, which extends the scope of Conner and Hurrelbrink (J. Number Theory88 (2001), 263-282). We determine the 4-rank and the 8-rank of the tame kernel, the Tate kernel, and the 2-part of the class group. Our characterizations are in terms of binary quadratic forms X2+32Y,X2+64Y2,X2+2Py2,2X2+Py2,X2−2Py2,2X2−Py2. The results are very useful for numerical computations. 相似文献
64.
研究了代数闭域K上具有强分次Jacobson根r的有限维基本可裂弱Hopf代数,并刻画了有限维基本可裂半格分次弱Hopf代数H,即存在有限Clifford半群S,使得H/rkS*.还引入了弱覆盖箭图的概念,其路代数具有半格分次弱Hopf代数的结构,其箭图作为弱覆盖箭图被刻画.进一步地,证明了对上述H存在弱覆盖箭图Г和由长度大于2的路生成的理想I,使得kГ/IH. 相似文献
65.
Locally finite triangulated categories 总被引:2,自引:0,他引:2
A k-linear triangulated category is called locally finite provided for any indecomposable object Y in . It has Auslander–Reiten triangles. In this paper, we show that if a (connected) triangulated category has Auslander–Reiten triangles and contains loops, then its Auslander–Reiten quiver is of the form :
By using this, we prove that the Auslander–Reiten quiver of any locally finite triangulated category is of the form , where Δ is a Dynkin diagram and G is an automorphism group of . For most automorphism groups G, the triangulated categories with as their Auslander–Reiten quivers are constructed. In particular, a triangulated category with as its Auslander–Reiten quiver is constructed. 相似文献
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66.
Anders Skovsted Buch 《Journal of the American Mathematical Society》2005,18(1):217-237
We prove a formula for the Grothendieck class of a quiver variety, which generalizes the cohomological component formulas of Knutson, Miller, and Shimozono. Our formula implies that the -theoretic quiver coefficients have alternating signs and gives an explicit combinatorial formula for these coefficients. We also prove some new variants of the factor sequences conjecture and a conjecture of Knutson, Miller, and Shimozono, which states that their double ratio formula agrees with the original quiver formulas of the author and Fulton. For completeness we include a short proof of the ratio formula.
67.
The condition of being locally scalar is imposed on graph (or quiver) representations in the category of Hilbert spaces. Under this condition, reflection and Coxeter functors are constructed in categories of such representations and used to prove an analog of the Gabriel theorem.__________Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 39, No. 2, pp. 13–30, 2005Original Russian Text Copyright © by S. A. Kruglyak and A. V. Roiter 相似文献
68.
The model of the Coulomb dressed potential is applied to solving the
problem of electron scattering for simplifying the calculation in the
electrostatic field and the excimer laser field. The introduction and
the application of the model are based on the electric dipole
approximation, so the contribution of the electric multipole is
neglected. In this paper, rigorous analysis and deduction are
carried out for the introduction of the dressed Coulomb potential
into the laser field. It is found that the introduction of the
dressed potential in the fractional form is feasible only when the
laser field (not including far ultraviolet field and x-ray) is a weak
field, i.e. the quiver radius of the free electron is smaller than
the atomic scale. In addition, the necessary analysis is also
conducted of the limitation of the application of the Coulomb dressed
potential. 相似文献
69.
70.
Magdalena Boos 《代数通讯》2019,47(8):3399-3420
We discuss multi-graded nilpotent tuples of multi-graded vector spaces which are a generalization of graded nilpotent pairs. The multi-grading yields a natural notion of a shape of such tuple and our main interest is to answer the question “Is the number of multi-graded nilpotent tuples of a fixed shape, up to base change in the homogeneous components, finite?” Our methods make use of a translation to the class of so-called “Multi-staircase algebras” and we classify their representation types. 相似文献