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pro vyhledávání: '"Kohls, Martin"'
Autor:
Elmer, Jonathan, Kohls, Martin
Assume a fixed point v in a G-module V can be separated from zero by a homogeneous invariant of degree dp^r where p>0 is the characteristic of the ground field k and p, d are coprime. We show that then v can also be separated from zero by an invarian
Externí odkaz:
http://arxiv.org/abs/1505.02932
Autor:
Kohls, Martin, Sezer, Müfit
Publikováno v:
Journal of Pure and Applied Algebra, Volume 220, Issue 5, May 2016, Pages 2029-2037
We investigate the presence of Cohen-Macaulay ideals in invariant rings and show that an ideal of an invariant ring corresponding to a modular representation of a $p$-group is not Cohen-Macaulay unless the invariant ring itself is. As an intermediate
Externí odkaz:
http://arxiv.org/abs/1501.03126
Autor:
Kohls, Martin, Sezer, Müfit
Publikováno v:
Communications in Contemporary Mathematics Volume 19, Issue 03, June 2017
For a finite dimensional representation $V$ of a group $G$ over a field $F$, the degree of reductivity $\delta(G,V)$ is the smallest degree $d$ such that every nonzero fixed point $v\in V^{G}\setminus\{0\}$ can be separated from zero by a homogeneous
Externí odkaz:
http://arxiv.org/abs/1406.6299
Autor:
Elmer, Jonathan, Kohls, Martin
Let $G$ be a linear algebraic group over a field $k$, and let $V$ be a $G$-module. Recall that the nullcone of $(G,V)$ is the set of points $v$ in $V$ with the property that $f(v)=0$ for every positive degree homogeneous invariant $f$ in $k[V]^G$. We
Externí odkaz:
http://arxiv.org/abs/1402.6608
Autor:
Elmer, Jonathan, Kohls, Martin
Publikováno v:
Journal of Algebra 411, p 92-113, 2014
We fix a field $\kk$ of characteristic $p$. For a finite group $G$ denote by $\delta(G)$ and $\sigma(G)$ respectively the minimal number $d$, such that for any finite dimensional representation $V$ of $G$ over $\kk$ and any $v\in V^{G}\setminus\{0\}$
Externí odkaz:
http://arxiv.org/abs/1308.0991
Autor:
Kohls, Martin, Sezer, Müfit
Publikováno v:
Int. Math. Res. Not. Volume 2014, Issue 22, Pp. 6079-6093
For a finite group $G$ acting faithfully on a finite dimensional $F$-vector space $V$, we show that in the modular case, the top degree of the vector coinvariants grows unboundedly: $\lim_{m\to\infty} \topdeg F[V^{m}]_{G}=\infty$. In contrast, in the
Externí odkaz:
http://arxiv.org/abs/1211.1876
Autor:
Dufresne, Emilie, Kohls, Martin
For a group $G$ acting on an affine variety $X$, the separating variety is the closed subvariety of $X\times X$ encoding which points of $X$ are separated by invariants. We concentrate on the indecomposable rational linear representations $V_n$ of di
Externí odkaz:
http://arxiv.org/abs/1201.5933
Autor:
Kohls, Martin, Sezer, Mufit
Publikováno v:
Mathematische Nachrichten Volume 285, Issue 16, pages 1974-1980, 2012
We consider a finite dimensional representation of the dihedral group $D_{2p}$ over a field of characteristic two where $p$ is an odd prime and study the corresponding Hilbert ideal $I_H$. We show that $I_H$ has a universal Gr\" {o}bner basis consist
Externí odkaz:
http://arxiv.org/abs/1109.6180
Autor:
Elmer, Jonathan, Kohls, Martin
Publikováno v:
Proc. Amer. Math. Soc. 140 (2012), 135-146
We explicitly construct a finite set of separating invariants for the basic $\Ga$-actions. These are the finite dimensional indecomposable rational linear representations of the additive group $\Ga$ of a field of characteristic zero, and their invari
Externí odkaz:
http://arxiv.org/abs/1011.2169