Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Billig, Yuly"'
Autor:
Billig, Yuly, Rocha, Henrique
We study the growth of representations of the Lie algebra of vector fields on the affine space that admit a compatible action of the polynomial algebra. We establish the Bernstein inequality for these representations, enabling us to focus on modules
Externí odkaz:
http://arxiv.org/abs/2410.21121
Autor:
Billig, Yuly, Dykes, Kathlyn
For an affine algebraic variety, we introduce algebraic Gelfand-Fuks cohomology of polynomial vector fields with coefficients in differentiable $AV$-modules. Its complex is given by cochains that are differential operators in the sense of Grothendiec
Externí odkaz:
http://arxiv.org/abs/2410.20316
Autor:
Billig, Yuly, Bouaziz, Emile
We study sheaves of modules for the Lie algebra of vector fields with the action of the algebra of functions, compatible via the Leibniz rule. A crucial role in this theory is played by the virtual jets of vector fields - jets that evaluate to a zero
Externí odkaz:
http://arxiv.org/abs/2409.02677
Autor:
Billig, Yuly
In this paper we solve the problem of finding in a given weighted hypergraph a subhypergraph with a maximum possible density. We introduce the notion of a support matrix and prove that the density of an optimal subhypergraph is equal to $|A^T A|$ for
Externí odkaz:
http://arxiv.org/abs/2304.02752
Autor:
Billig, Yuly, Ingalls, Colin
We construct a quasi-coherent sheaf of associative algebras which controls a category of $AV$-modules over a smooth quasi-projective variety. We establish a local structure theorem, proving that in \'etale charts these associative algebras decompose
Externí odkaz:
http://arxiv.org/abs/2302.07918
We classify all simple strong Harish-Chandra modules for the Lie superalgebra $W(m,n)$. We show that every such module is either strongly cuspidal or a module of the highest weight type. We construct tensor modules for $W(m,n)$, which are parametrize
Externí odkaz:
http://arxiv.org/abs/2006.05618
Autor:
Billig, Yuly
We prove locality of superconformal algebras: every pluperfect superconformal algebra is spanned by coefficients of a finite family of mutually local distributions. We also introduce quasi-Poisson algebras and show that they can be used to construct
Externí odkaz:
http://arxiv.org/abs/2006.02404
We study the category of modules admitting compatible actions of the Lie algebra $\mathcal{V}$ of vector fields on an affine space and the algebra $\mathcal{A}$ of polynomial functions. We show that modules in this category which are finitely generat
Externí odkaz:
http://arxiv.org/abs/2002.08388
For a smooth irreducible affine algebraic variety we study a class of gauge modules admitting compatible actions of both the algebra $A$ of functions and the Lie algebra $\mathcal{V}$ of vector fields on the variety. We prove that a gauge module corr
Externí odkaz:
http://arxiv.org/abs/1903.02626
Publikováno v:
In Journal of Algebra 1 June 2023 623:481-495
