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Invariant Theory
13A50
| [1] |
Thomas Bayer.
An algorithm for computing invariants of linear actions of algebraic
groups up to a given degree.
J. Symbolic Comput., 35(4):441–449, 2003. |
| [2] |
Dave Benson.
Dickson invariants, regularity and computation in group cohomology.
Illinois J. Math., 48(1):171–197, 2004. |
| [3] |
Mireille Boutin and Gregor Kemper.
On reconstructing n-point configurations from the distribution of
distances or areas.
Adv. in Appl. Math., 32(4):709–735, 2004. |
| [4] |
Mireille Boutin and Gregor Kemper.
On reconstructing configurations of points in P² from a joint
distribution of invariants.
Appl. Algebra Engrg. Comm. Comput., 15(6):361–391, 2005. |
| [5] |
H. E. A. Campbell, B. Fodden, and David L. Wehlau.
Invariants of the diagonal Cp-action on V3.
J. Algebra, 303(2):501–513, 2006. |
| [6] |
H. E. A. Campbell, I. P. Hughes, G. Kemper, R. J. Shank, and D. L. Wehlau.
Depth of modular invariant rings.
Transform. Groups, 5(1):21–34, 2000. |
| [7] |
Chris Charnes, Martin Rötteler, and Thomas Beth.
On homogeneous bent functions.
In Applied Algebra, Algebraic Algorithms and
Error-correcting Codes (Melbourne, 2001), volume 2227 of Lecture
Notes in Comput. Sci., pages 249–259. Springer, Berlin, 2001. |
| [8] |
Chris Charnes, Martin Rötteler, and Thomas Beth.
Homogeneous bent functions, invariants, and designs.
Des. Codes Cryptogr., 26(1-3):139–154, 2002. |
| [9] |
Wolfram Decker and Theo de Jong.
Gröbner bases and invariant theory.
In Gröbner bases and applications (Linz, 1998), volume 251
of London Math. Soc. Lecture Note Ser., pages 61–89. Cambridge Univ.
Press, Cambridge, 1998. |
| [10] |
Harm Derksen.
Computation of invariants for reductive groups.
Adv. Math., 141(2):366–384, 1999. |
| [11] |
Harm Derksen and Gregor Kemper.
Computational Invariant Theory.
Invariant Theory and Algebraic Transformation Groups, I.
Springer-Verlag, Berlin, 2002. |
| [12] |
Jan Draisma, Gregor Kemper, and David Wehlau.
Polarization of separating invariants.
Preprint, 17 pages, 2005. |
| [13] |
Tom Fisher.
The Hessian of a genus one curve.
arXiv:math.NT/0610403, 28 pages, 2006. |
| [14] |
Tom Fisher.
The invariants of a genus one curve.
arXiv:math.NT/0610318, 37 pages, 2006. |
| [15] |
P. Fleischmann, M. Sezer, R. J. Shank, and C. F. Woodcock.
The Noether numbers for cyclic groups of prime order.
Adv. Math., 207(1):149–155, 2006. |
| [16] |
Karin Gatermann and Frédéric Guyard.
Gröbner bases, invariant theory and equivariant dynamics.
J. Symbolic Comput., 28(1-2):275–302, 1999. |
| [17] |
Karin Gatermann and Pablo A. Parrilo.
Symmetry groups, semidefinite programs, and sums of squares.
J. Pure Appl. Algebra, 192(1-3):95–128, 2004. |
| [18] |
M. Grassl, T. Beth, and M. Rötteler.
Computing local invariants of quantum-bit systems.
Phys. Rev. A., 58(3):833–1839, 1998. |
| [19] |
Ian Hughes and Gregor Kemper.
Symmetric powers of modular representations, Hilbert series and
degree bounds.
Comm. Algebra, 28(4):2059–2088, 2000. |
| [20] |
Ian Hughes and Gregor Kemper.
Symmetric powers of modular representations for groups with a Sylow
subgroup of prime order.
J. Algebra, 241(2):759–788, 2001. |
| [21] |
D. B. Karagueuzian and P. Symonds.
The module structure of a group action on a polynomial ring:
Examples, generalizations, and applications.
In Invariant Theory in all Characteristics, volume 35 of
CRM Proc. Lecture Notes, pages 139–158. Amer. Math. Soc., Providence,
RI, 2004. |
| [22] |
Gregor Kemper.
Calculating invariants of modular reflection groups with Magma.
Preprint, 5 pages, 1997. |
| [23] |
Gregor Kemper.
Computational invariant theory.
In The Curves Seminar at Queen's. Vol. XII (Kingston, ON,
1998), volume 114 of Queen's Papers in Pure and Appl. Math., pages
5–26. Queen's Univ., Kingston, ON, 1998. |
| [24] |
Gregor Kemper.
The depth of invariant rings and cohomology.
J. Algebra, 245(2):463–531, 2001. |
| [25] |
Gregor Kemper.
Computing invariants of reductive groups in positive characteristic.
Transform. Groups, 8(2):159–176, 2003. |
| [26] |
Gregor Kemper, Elmar Körding, Gunter Malle, B. Heinrich Matzat, Denis
Vogel, and Gabor Wiese.
A database of invariant rings.
Experiment. Math., 10(4):537–542, 2001. |
| [27] |
Gregor Kemper and Gunter Malle.
Invariant fields of finite irreducible reflection groups.
Math. Ann., 315(4):569–586, 1999. |
| [28] |
Gregor Kemper and Allan Steel.
Some algorithms in invariant theory of finite groups.
In Computational Methods for Representations of Groups and
Algebras (Essen, 1997), volume 173 of Progr. Math., pages 267–285.
Birkhäuser, Basel, 1999. |
| [29] |
Simon King.
Fast computation of secondary invariants.
arXiv:math/0701270, 13 pages, 2007. |
| [30] |
Simon King.
Minimal generating sets of non-modular invariant rings of finite
groups.
arXiv:math/0703035, 14 pages, 2007. |
| [31] |
P. H. Kropholler, S. Mohseni Rajaei, and J. Segal.
Invariant rings of orthogonal groups over F2.
Glasg. Math. J., 47(1):7–54, 2005. |
| [32] |
Martin Lorenz.
Multiplicative Invariant Theory, volume 135 of Encyclopaedia of Mathematical Sciences.
Springer-Verlag, Berlin, 2005. |
| [33] |
Jürgen Müller and Christophe Ritzenthaler.
On the ring of invariants of ordinary quartic curves in
characteristic 2.
J. Algebra, 303(2):530–542, 2006. |
| [34] |
Gabriele Nebe, Eric M. Rains, and Neil J. A. Sloane.
Self-dual Codes and Invariant Theory, volume 17 of Algorithms and Computation in Mathematics.
Springer-Verlag, Berlin, 2006. |
| [35] |
W. Plesken and D. Robertz.
Constructing invariants for finite groups.
Experiment. Math., 14(2):175–188, 2005. |
| [36] |
Marc Stetson Renault.
Computing Generators for Rings of Multiplicative
Invariants.
PhD Thesis, Temple University, 2002. |
| [37] |
Müfit Sezer and R. James Shank.
On the coinvariants of modular representations of cyclic groups of
prime order.
J. Pure Appl. Algebra, 205(1):210–225, 2006. |
| [38] |
R. J. Shank.
Classical covariants and modular invariants.
In Invariant Theory in all Characteristics, volume 35 of
CRM Proc. Lecture Notes, pages 241–249. Amer. Math. Soc., Providence,
RI, 2004. |
| [39] |
R. James Shank and David L. Wehlau.
On the depth of the invariants of the symmetric power representations
of SL2(Fp).
J. Algebra, 218(2):642–653, 1999. |
| [40] |
R. James Shank and David L. Wehlau.
Computing modular invariants of p-groups.
J. Symbolic Comput., 34(5):307–327, 2002. |
| [41] |
R. James Shank and David L. Wehlau.
Noether numbers for subrepresentations of cyclic groups of prime
order.
Bull. London Math. Soc., 34(4):438–450, 2002. |
| [42] |
R. James Shank and David L. Wehlau.
Decomposing symmetric powers of certain modular representations of
cyclic groups.
arXiv:math.AC/05099044 v2, 14 pages, 2005. |
| [43] |
Nicolas M. Thiéry.
Algebraic invariants of graphs; A study based on computer
exploration.
SIGSAM Bulletin, 34(3):9–20, 2000. |
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