Modular Invariant Theory

AvH.E.A. Eddy Campbell,David L. Wehlau

Häftad, Engelska, 2013

Del 139 i serien Encyclopaedia of Mathematical Sciences

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Beskrivning

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case.

Produktinformation

Utgivningsdatum:2013-02-25
Mått:155 x 235 x 21 mm
Vikt:384 g
Format:Häftad
Språk:Engelska
Serie:Encyclopaedia of Mathematical Sciences
Antal sidor:234
Upplaga:2011
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642266805

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "Modular Invariant Theory is a fitting entry into the 'Encyclopaedia of mathematical Sciences' series: it deals with important living mathematics in a way suited to researchers both at the rookie and more advanced levels." (Michael Berg, The Mathematical Association of America, March, 2011) "Provide the necessary background in commutative algebra, algebraic geometry, monomial orderings, and SAGBI bases and give many examples. The book should be accessible to second or third year graduate students and will bring any reader up to date on an active area of research." (Frank D. Grosshans, Mathematical Reviews, Issue 2012 b) "The book is a good source for examples and inspirations in modular invariant theory. ... it is well suited for researchers who aim to get a feeling for recent problems in modular invariant theory and related problems. It can also be used as a companion book for a graduate course in invariant theory of finite groups with a view towards the differences to the modular case." (Peter Schenzel, Zentralblatt MATH, Vol. 1216, 2011)

Innehållsförteckning

1 First Steps.- 2 Elements of Algebraic Geometry and Commutative Algebra.- 3 Applications of Commutative Algebra to Invariant Theory.- 4 Examples.- 5 Monomial Orderings and SAGBI Bases.- 6 Block Bases.- 7 The Cyclic Group Cp.- 8 Polynomial Invariant Rings.- 9 The Transfer.- 10 Invariant Rings via Localization.- 11 Rings of Invariants which are Hypersurfaces.- 12 Separating Invariants.- 13 Using SAGBI Bases to Compute Rings of Invariants.- 14 Ladders.- References.- Index.