# Linear gradings of polynomial algebras

Open Mathematics (2008)

- Volume: 6, Issue: 1, page 13-24
- ISSN: 2391-5455

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topPiotr Jędrzejewicz. "Linear gradings of polynomial algebras." Open Mathematics 6.1 (2008): 13-24. <http://eudml.org/doc/269198>.

@article{PiotrJędrzejewicz2008,

abstract = {Let k be a field, let \[ G \]
be a finite group. We describe linear \[ G \]
-gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.},

author = {Piotr Jędrzejewicz},

journal = {Open Mathematics},

keywords = {graded algebra; polynomial algebra},

language = {eng},

number = {1},

pages = {13-24},

title = {Linear gradings of polynomial algebras},

url = {http://eudml.org/doc/269198},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Piotr Jędrzejewicz

TI - Linear gradings of polynomial algebras

JO - Open Mathematics

PY - 2008

VL - 6

IS - 1

SP - 13

EP - 24

AB - Let k be a field, let \[ G \]
be a finite group. We describe linear \[ G \]
-gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.

LA - eng

KW - graded algebra; polynomial algebra

UR - http://eudml.org/doc/269198

ER -

## References

top- [1] Kane R., Reflection groups and invariant theory, Springer-Verlag, New York, Berlin, Heidelberg, 2001 Zbl0986.20038
- [2] Kraft H., Geometrische Methoden in der Invariantentheorie, Vieweg & Sohn, Braunschweig, 1985 (in German) Zbl0669.14003
- [3] Li W., Remarks on rings of constants of derivations II, Comm. Algebra, 1992, 20, 2191–2194 http://dx.doi.org/10.1080/00927879208824456 Zbl0755.13001
- [4] Maubach S., An algorithm to compute the kernel of a derivation up to a certain degree, J. Symbolic Comput., 2000, 29, 959–970 http://dx.doi.org/10.1006/jsco.1999.0334 Zbl0999.13011
- [5] Nowicki A., Strelcyn J.M., Generators of rings of constants for some diagonal derivations in polynomial rings, J. Pure Appl. Algebra, 1995, 101, 207–212 http://dx.doi.org/10.1016/0022-4049(94)00011-7 Zbl0832.12002

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