Displaying similar documents to “Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method”

Locally Nilpotent Monomial Derivations

Marek Karaś (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

We prove that every locally nilpotent monomial k-derivation of k[X₁,...,Xₙ] is triangular, whenever k is a ring of characteristic zero. A method of testing monomial k-derivations for local nilpotency is also presented.

AK-invariant, some conjectures, examples and counterexamples

L. Makar-Limanov (2001)

Annales Polonici Mathematici

Similarity:

In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.

A Note About the Nowicki Conjecture on Weitzenböck Derivations

Bedratyuk, Leonid (2009)

Serdica Mathematical Journal

Similarity:

2000 Mathematics Subject Classification: 13N15, 13A50, 16W25. We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant theory.

RUC systems in rearrangement invariant spaces

P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)

Studia Mathematica

Similarity:

We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.

Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

Takumi Yamada (2017)

Complex Manifolds

Similarity:

Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t. We can construct different left-invariant complex structures on one nilpotent Lie group by using the complexification and the scalar restriction. We investigate relationships to Hodge numbers of associated compact complex nilmanifolds.

Nilpotent complex structures.

Luis A. Cordero, Marisa Fernández, Alfred Gray, Luis Ugarte (2001)

RACSAM

Similarity:

Este artículo presenta un panorama de algunos resultados recientes sobre estructuras complejas nilpotentes J definidas sobre nilvariedades compactas. Tratamos el problema de clasificación de nilvariedades compactas que admiten una tal J, el estudio de un modelo minimal de Dolbeault y su formalidad, y la construcción de estructuras complejas nilpotentes para las cuales la sucesión espectral de Frölicher no colapsa en el segundo término.

Size functions

Niel Shell (2004)

Fundamenta Mathematicae

Similarity:

We introduce the notion of a nonarchimedean size function similar to the notion of a size function introduced by Marcos. We describe a class of ring topologies on fields that are complete, neither first countable nor locally bounded, but have topologically nilpotent elements.

Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)

G. Goes (1998)

Studia Mathematica

Similarity:

Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections σ n x of a sequence x in a translation invariant BK-space is not necessarily bounded. Theorem 4.2(ii) of [1] and the proof of Proposition 4.3 of [1] are corrected. All other statements of [1], including Proposition 4.3 itself, are correct.