Results 121 to 130 of about 53,900 (153)

On the Converse of Pansu's Theorem. [PDF]

Arch Ration Mech Anal
De Philippis G, Marchese A, Merlo A, Pinamonti A, Rindler F.   +4 more
europepmc   +1 more source

Гомологии алгебры Ли векторных полей на прямой с коэффициентами в симметрических степенях ее присоединенного представления

Функциональный анализ и его приложения, 2006
openaire   +3 more sources

Exploring AI in metasurface structures with forward and inverse design. [PDF]

iScience
Yang G, Xiao Q, Zhang Z, Yu Z, Wang X, Lu Q.   +5 more
europepmc   +1 more source

Berezin Quantization, Conformal Welding and the Bott-Virasoro Group. [PDF]

Ann Henri Poincare
Alekseev A, Shatashvili S, Takhtajan L.
europepmc   +1 more source

Cohomologies of Lie Algebras of Vector Fields with Coefficients in Adjoint Representations

Cohomologies of Lie Algebras of Vector Fields with Coefficients in Adjoint Representations
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Cohomology of graded lie algebras of maximal class with coefficients in the adjoint representation [PDF]

Proceedings of the Steklov Institute of Mathematics, 2008
We compute explicitly the adjoint cohomology of two ℕ-graded Lie algebras of maximal class (infinite-dimensional filiform Lie algebras) m0 and m2. It is known that up to an isomorphism there are only three ℕ-graded Lie algebras of maximal class. The third algebra from this list is the “positive” part L1 of the Witt (or Virasoro) algebra, and its ...
Д. В. Миллионщиков
openaire   +2 more sources

The adjoint representation of fuzzy Lie algebras

Fuzzy Sets and Systems, 2001
The author extends the notion of the commutator of a Lie algebra by Zadeh's extension principle to a product of fuzzy subsets. A fuzzy subspace generated by the product of two fuzzy ideals is shown to be a fuzzy ideal. The product of fuzzy ideals is used to define the descending central series of a fuzzy ideal.
Samy el Badawy Yehia
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LIE ALGEBRAS WITH AN ALGEBRAIC ADJOINT REPRESENTATION

Mathematics of the USSR-Sbornik, 1984
An algebra R over a field K satisfies the property P locally, if P holds for every finitely generated subalgebra of R. A famous result of A. I. Kostrikin claims that every Lie algebra G satisfying the Engel condition g(ad h)\({}^ n=0\) for any g,\(h\in G\), is locally nilpotent if char K\(=0\) or char K\(=p>n\).
E. I. Zel'manov
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Lie algebras with an algebraic adjoint representation revisited

Manuscripta Mathematica, 2012
A well-known theorem due to E. Zelmanov proves that PI-Lie algebras with an algebraic adjoint representation over a field of characteristic zero are locally finite-dimensional. In particular, a Lie algebra (over a field of characteristic zero) whose adjoint representation is algebraic of bounded degree is locally finite-dimensional. In this paper it is
Artem Yu. Golubkov, Antonio Fernández López   +1 more
openaire   +3 more sources