Titlebook: Algebraic Theory of Locally Nilpotent Derivations; Gene Freudenburg Book 2017Latest edition Springer-Verlag GmbH Germany 2017 dimension.ad

蜈蚣

RAFF

Non-Finitely Generated Kernels,e first examples of non-affine invariant rings for .-actions on an affine space. These examples involved actions of . on . over a field . of characteristic zero, and are counterexamples to Hilbert’s Fourteenth Problem. Subsequent examples of .-actions of non-finite type were constructed in Freudenbu

Kaleidoscope

Algorithms, in the linear case, the invariant ring is known to be finitely generated, and in these cases it is desirable to have effective means of calculating invariants. In this chapter, we consider constructive invariant theory for .-actions.

透明

变化

Epilogue, Embedding Problem or Cancellation Problem for complex affine spaces would reverberate across the whole of algebra, and we have seen how locally nilpotent derivations might play a role in their solution. Following are several additional directions for future inquiry.

SNEER

0938-0396 al: .This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. .The author prov

Harbor

Piezonuclear Reactions in Cavitated Watertury. The ring of ..-invariants, together with the ring of .-invariants for the subgroup ., were the focus of much research at the time. A fundamental result due to Gordan (1868) is that both . and . are finitely generated [182]. Gordan calculated generators for these rings up to . = 6. These historical developments are discussed in ...

大雨

condone

大方不好

Non-Finitely Generated Kernels,istic zero, and are counterexamples to Hilbert’s Fourteenth Problem. Subsequent examples of .-actions of non-finite type were constructed in Freudenburg [163] and in Daigle and Freudenburg [79] for . and ., respectively.