Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Shank, R. James"'
We describe the ring of invariants for the finite orthogonal group of plus type in odd characteristic acting on its defining representation. We also describe the invariants of its Sylow subgroup in the defining characteristic. In both cases we constr
Externí odkaz:
http://arxiv.org/abs/2407.01152
We use the gluing construction introduced by Jia Huang to explore the rings of invariants for a range of modular representations. We construct generating sets for the rings of invariants of the maximal parabolic subgroups of a finite symplectic group
Externí odkaz:
http://arxiv.org/abs/1910.02659
Publikováno v:
In Journal of Algebra 15 January 2021 566:405-434
Autor:
Hobson, Ashley, Shank, R. James
For a prime p>3, we compute a finite generating set for the SL_2(F_p)-invariants of the third symmetric power representation. The proof relies on the construction of an infinite SAGBI basis and uses the Hilbert series calculation of Hughes and Kemper
Externí odkaz:
http://arxiv.org/abs/1006.0116
Autor:
Hobson, Ashley, Shank, R. James
For a prime p>2 and q=p^n, we compute a finite generating set for the SL_2(F_q)-invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the
Externí odkaz:
http://arxiv.org/abs/1002.4318
Autor:
Sezer, Müfit, Shank, R. James
We consider the ring of coinvariants for modular representations of cyclic groups of prime order. For all cases for which explicit generators for the ring of invariants are known, we give a reduced Gr\"obner basis for the Hilbert ideal and the corres
Externí odkaz:
http://arxiv.org/abs/math/0409107
Publikováno v:
Transactions of the American Mathematical Society, 2005 Sep 01. 357(9), 3605-3621.
Externí odkaz:
https://www.jstor.org/stable/3845280
Autor:
Sezer, Müfit, Shank, R. James
Publikováno v:
Transactions of the American Mathematical Society, 2016 Aug 01. 368(8), 5655-5673.
Externí odkaz:
https://www.jstor.org/stable/tranamermathsoci.368.8.5655
Autor:
Harris, John C., Shank, R. James
Publikováno v:
Transactions of the American Mathematical Society, 1992 Oct 01. 333(2), 579-606.
Externí odkaz:
https://www.jstor.org/stable/2154050