Zobrazeno 1 - 10
of 25
pro vyhledávání: '"R. James Shank"'
Publikováno v:
Journal of Algebra. 566:405-434
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
Autor:
R. James Shank, Théo Pierron
Publikováno v:
Involve 9, no. 4 (2016), 551-581
We show that the rings of invariants for the three dimensional modular representations of an elementary abelian $p$-group of rank four are complete intersections with embedding dimension at most five. Our results confirm the conjectures of Campbell,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a83c0108ad1b719335d97565814760be
https://projecteuclid.org/euclid.involve/1511371044
https://projecteuclid.org/euclid.involve/1511371044
Autor:
R. James Shank, Ashley Hobson
Publikováno v:
Journal of Pure and Applied Algebra. 215:2481-2485
For a prime p > 2 and q = p n , we compute a finite generating set for the S L 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 extensi
Autor:
R. James Shank, Ashley Hobson
Publikováno v:
Journal of Algebra. 333:241-257
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
Publikováno v:
Transactions of the American Mathematical Society. 357:3605-3621
the cohomological connectivity of the symmetric algebra S(V ) to be the smallest positive integer m such that H m (G;S(V ))6 0. We show that min dimK(V P ) +m + 1; dimK(V ) is a lower bound for the depth of S(V ) G . We characterize those representat
Publikováno v:
The Quarterly Journal of Mathematics. 55:167-184
We study the cohomology modules H i (G;R) of a p-group G acting on a ring R of characteristic p, for i > 0. In particular, we are interested in the Cohen-Macaulay property and the depth of H i (G;R) regarded as an R G -module. We rst determine the su
Autor:
R. James Shank, David L. Wehlau
Publikováno v:
Bulletin of the London Mathematical Society. 34:438-450
Let W be a finite-dimensional Z/p-module over a field, k, of characteristic p. The maximum degree of an indecomposable element of the algebra of invariants, k[W](Z/P), is called the Noether number of the representation, and is denoted by beta(W). A l
Autor:
R. James Shank
Publikováno v:
Mathematische Zeitschrift. 211:341-350
Autor:
John C. Harris, R. James Shank
Publikováno v:
Transactions of the American Mathematical Society. 333:579-606
Let H H be the mod - p \bmod \text {-}p cohomology of the classifying space B ( Z / p ) B({\mathbf {Z}}/p) thought of as an object in the category, U \mathcal {U} , of unstable modules over the Steenrod algebra. Lannes constructed a functor T : U →
Autor:
David L. Wehlau, R. James Shank
Publikováno v:
Symmetry and Spaces ISBN: 9780817648749
For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p 2, and show that the Noether number for the representation is p 2 + p−3. We th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71d5a3956a20342f7db28672f7ed0183
https://kar.kent.ac.uk/3169/1/Shank_Decomposing.pdf
https://kar.kent.ac.uk/3169/1/Shank_Decomposing.pdf