Associative conformal algebras with finite faithful representation.

DOI10.1016/j.aim.2005.04.001zbMath1175.16018arXivmath/0402330OpenAlexW2092004050MaRDI QIDQ2496245

Pavel Sergeevich Kolesnikov

Publication date: 12 July 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402330

zbMATH Keywords

Weyl algebrasfinite representationsassociative conformal algebrasirreducible subalgebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Vertex operators; vertex operator algebras and related structures (17B69) Rings of differential operators (associative algebraic aspects) (16S32) Representation theory of associative rings and algebras (16G99)

Related Items (24)

Conformal Yang–Baxter equation on Cur(sl2(C)) ⋮ On irreducible algebras of conformal endomorphisms over a linear algebraic group ⋮ Graded associative conformal algebras of finite type. ⋮ \(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Representations of some associative pseudoalgebras ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ Associative algebras related to conformal algebras. ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Molien-Wedderburn theorem for associative conformal algebras with finite faithful representation ⋮ Universally defined representations of Lie conformal superalgebras ⋮ Conformal derivations of semidirect products of Lie conformal algebras and their conformal modules ⋮ Classifying complements for conformal algebras ⋮ Triviality of the second cohomology group of the conformal algebras $\mathrm {Cend}_n$ and $\mathrm {Cur}_n$ ⋮ Hochschild cohomologies of the associative conformal algebra \(\mathrm{Cend}_{1 ,x }\) ⋮ On finite representations of conformal algebras ⋮ Extending structures for associative conformal algebras ⋮ On antisymmetric infinitesimal conformal bialgebras ⋮ On the cohomology of Leibniz conformal algebras ⋮ Simple associative conformal algebras of linear growth ⋮ ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS ⋮ Leibniz \(H\)-pseudoalgebras

Cites Work

• Prime affine algebras of Gelfand-Kirillov dimension one
• On associative conformal algebras of linear growth. II.
• Infinite conformal symmetry in two-dimensional quantum field theory
• Structure theory of finite conformal algebras
• Conformal modules
• On free conformal and vertex algebras
• Generalized vertex algebras and relative vertex operators
• A new \(N=6\) superconformal algebra
• Composition-diamond lemma for associative conformal algebras.
• Classification of finite simple Lie conformal superalgebras.
• On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).
• STRUCTURE THEORY OF FINITE LIE CONFORMAL SUPERALGEBRAS
• Vertex algebras, Kac-Moody algebras, and the Monster
• Associative Enveloping Pseudoalgebras of Finite Lie Pseudoalgebras
• Field Algebras
• Subalgebras of gc_N and Jacobi Polynomials
• Finite growth representations of infinite Lie conformal algebras
• Associative conformal algebras of linear growth.
• Theory of finite pseudoalgebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Associative conformal algebras with finite faithful representation.