Results 1 to 10 of about 23,944 (147)
Separating invariants for the basic 𝔾ₐ-actions [PDF]
Proceedings of the American Mathematical Society, 2011 We explicitly construct a finite set of separating invariants for the basicGa{\mathbb G}_{a}-actions. These are the finite dimensional indecomposable rational linear representations of the additive groupGa{\mathbb G}_{a}of a field of characteristic zero, and their invariants are the kernel of the Weitzenböck derivationDn=x0∂∂x1+…+xn−1∂∂xnD_{n}=x_{0 ...
Elmer, JP, Kohls, M
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Degree bounds for separating invariants [PDF]
Mathematical Research Letters, 2010 If V is a representation of a linear algebraic group G, a set S of G-invariant regular functions on V is called separating if the following holds: If two elements v,v' from V can be separated by an invariant function, then there is an f from S such that f(v) is different from f(v'). It is known that there always exist finite separating sets.
Kraft, Hanspeter, Kohls, Martin
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Explicit separating invariants for cyclic P-groups [PDF]
Journal of Combinatorial Theory, Series A, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sezer, M.
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Zero-Separating Invariants for Linear Algebraic Groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2015 AbstractAbstract Let G be a linear algebraic group over an algebraically closed field 𝕜 acting rationally on a G-module V with its null-cone. Let δ(G, V) and σ(G, V) denote the minimal number d such that for every and , respectively, there exists a homogeneous invariant f of positive degree at most d such that f(v) ≠ 0.
Elmer, Jonathan, Kohls, Martin
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Zero-separating invariants for finite groups [PDF]
Journal of Algebra, 2014 We fix a field $\kk$ of characteristic $p$. For a finite group $G$ denote by $δ(G)$ and $σ(G)$ respectively the minimal number $d$, such that for any finite dimensional representation $V$ of $G$ over $\kk$ and any $v\in V^{G}\setminus\{0\}$ or $v\in V\setminus\{0\}$ respectively, there exists a homogeneous invariant $f\in\kk[V]^{G}$ of positive degree ...
Elmer, Jonathan, Kohls, Martin
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EMOTIONS, FEELINGS AND AFFECTS IN EARLY FRENCH ROMANTICISM: PROBLEMS OF STUDY (the first article) [PDF]
Вісник університету ім. А. Нобеля. Серія Філологічні науки, 2020 The article substantiates the relevance of updating the anthropological approach to the study of romanticism in connection with the achievements of modern psychological science.
Ninel A. Litvinenko
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Poisson equation for genus two string invariants: a conjecture
Journal of High Energy Physics, 2021 We consider some string invariants at genus two that appear in the analysis of the D 8ℛ4 and D 6ℛ5 interactions in type II string theory. We conjecture a Poisson equation involving them and the Kawazumi-Zhang invariant based on their asymptotic ...
Anirban Basu
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Separating invariants over finite fields [PDF]
Journal of Pure and Applied Algebra, 2022 18 ...
Kemper, Gregor +2 more
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Separating invariants and local cohomology [PDF]
Advances in Mathematics, 2015 The study of separating invariants is a recent trend in invariant theory. For a finite group acting linearly on a vector space, a separating set is a set of invariants whose elements separate the orbits of G. In some ways, separating sets often exhibit better behavior than generating sets for the ring of invariants.
Dufresne, Emilie Sonia, Jeffries, Jack
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Degree bound for separating invariants of abelian groups [PDF]
, 2016 It is proved that the universal degree bound for separating polynomial invariants of a finite abelian group (in non-modular characteristic) is strictly smaller than the universal degree bound for generators of polynomial invariants, unless the goup is ...
Domokos, M.
core +3 more sources