共查询到20条相似文献,搜索用时 687 毫秒
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Caio De Naday Hornhardt Helen Samara Dos Santos Mikhail Kochetov 《Journal of Pure and Applied Algebra》2019,223(4):1590-1616
We classify gradings by arbitrary abelian groups on the classical simple Lie superalgebras , , and on the simple associative superalgebras , , over an algebraically closed field: fine gradings up to equivalence and G-gradings, for a fixed group G, up to isomorphism. As a corollary, we also classify up to isomorphism the G-gradings on the classical Lie superalgebra that are induced from G-gradings on . In the case of Lie superalgebras, the characteristic is assumed to be 0. 相似文献
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We study thin obstacle problems involving the energy functional with -growth. We prove higher integrability and Hölder regularity for the gradient of minimizers of the thin obstacle problems under the assumption that the variable exponent is Hölder continuous. 相似文献
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Samuel Boissière Chiara Camere Alessandra Sarti 《Journal of Pure and Applied Algebra》2019,223(3):1123-1138
We describe periods of irreducible holomorphic symplectic manifolds of -type with a non-symplectic automorphism of prime order . These turn out to lie on complex ball quotients and we are able to give a precise characterization of when the period map is bijective by introducing the notion of -generality. 相似文献
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Let p be an odd prime number. We describe the Whitehead group of all extra-special and almost extra-special p-groups. For this we compute, for any finite p-group P, the subgroup of , in terms of a genetic basis of P. We also introduce a deflation map , for a normal subgroup N of P, and show that it is always surjective. Along the way, we give a new proof of the result describing the structure of , when P is an elementary abelian p-group. 相似文献
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In this paper we construct a ring A which has annihilator condition (a.c.) and we show that neither nor has this property. This answers in negative a question asked by Hong, Kim, Lee and Nielsen. We also show that there is an algebra A which does not have annihilator condition while both and have this property. 相似文献
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We define a ribbon category , depending on a parameter β, which encompasses Cautis, Kamnitzer and Morrison's spider category, and describes for the monoidal category of representations of generated by exterior powers of the vector representation and their duals. We identify this category with a direct limit of quotients of a dual idempotented quantum group , proving a mixed version of skew Howe duality in which exterior powers and their duals appear at the same time. We show that the category gives a unified natural setting for defining the colored link invariant (for ) and the colored HOMFLY-PT polynomial (for β generic). 相似文献
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《Discrete Mathematics》2022,345(10):112998
Let G be a graph and let f be a positive integer-valued function on . In this paper, we show that if for all , , then G has a spanning tree T containing an arbitrary given matching such that for each vertex v, , where denotes the number of components of and denotes the number of components of the induced subgraph with the vertex set S. This is an improvement of several results. Next, we prove that if for all , , then G admits a spanning closed walk passing through the edges of an arbitrary given matching meeting each vertex v at most times. This result solves a long-standing conjecture due to Jackson and Wormald (1990). 相似文献
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We construct a minimal free resolution of the semigroup ring in terms of minimal resolutions of and when is a numerical semigroup obtained by gluing two numerical semigroups and . Using our explicit construction, we compute the Betti numbers, graded Betti numbers, regularity and Hilbert series of , and prove that the minimal free resolution of has a differential graded algebra structure provided the resolutions of and possess them. We discuss the consequences of our results in small embedding dimensions. Finally, we give an extension of our main result to semigroups in . 相似文献
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We study the stationary Stokes system in divergence form. The coefficients are assumed to be merely measurable in one direction and have Dini mean oscillations in the other directions. We prove that if is a weak solution of the system, then is bounded and its certain linear combinations are continuous. We also prove a weak type- estimate for under a stronger assumption on the -mean oscillation of the coefficients. The corresponding results up to the boundary on a half ball are also established. These results are new even for elliptic equations and systems. 相似文献
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We consider an initial-value problem based on a class of scalar nonlinear hyperbolic reaction–diffusion equations of the general form in which x and τ represent dimensionless distance and time respectively and is a parameter related to the relaxation time. Furthermore the reaction function, , is given by the bistable cubic polynomial, in which is a parameter. The initial data is given by a simple step function with for and for . It is established, via the method of matched asymptotic expansions, that the large-time structure of the solution to the initial-value problem involves the evolution of a propagating wave front which is either of reaction–diffusion or of reaction–relaxation type. The one exception to this occurs when in which case the large time attractor for the solution of the initial-value problem is a stationary state solution of kink type centred at the origin. 相似文献
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We say that is an associative triple in a quasigroup if . It is easy to show that the number of associative triples in Q is at least , and it was conjectured that quasigroups with exactly associative triples do not exist when . We refute this conjecture by proving the existence of quasigroups with exactly associative triples for a wide range of values . Our main tools are quadratic Dickson nearfields and the Weil bound on quadratic character sums. 相似文献
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Jimmy Petean 《Journal of Functional Analysis》2019,276(6):1788-1805
Let be any closed Riemannianan manifold and be a Riemannian manifold of constant positive scalar curvature. We prove that the Yamabe equation on the Riemannian product has at least solutions for δ small enough, where denotes the Lusternik–Schnirelmann-category of M. The solutions obtained are functions of M and of them have energy arbitrarily close to the minimum. 相似文献
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