STRUCTURE THEORY OF FINITE LIE CONFORMAL SUPERALGEBRAS

DOI10.1142/9789812702562_0002zbMath1229.17027arXivmath/0402211OpenAlexW2963577131MaRDI QIDQ3107135

Alexander Retakh, Davide Fattori, Victor G. Kac

Publication date: 1 January 2012

Published in: Lie Theory and Its Applications in Physics V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402211

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

Conformal Yang–Baxter equation on Cur(sl2(C)) ⋮ Infinite-dimensional primitive linearly compact Lie superalgebras ⋮ Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ Deformations and generalized derivations of Lie conformal superalgebras ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond ⋮ Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type ⋮ Universally defined representations of Lie conformal superalgebras ⋮ Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra ⋮ Unnamed Item ⋮ Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras ⋮ Conformal derivations of semidirect products of Lie conformal algebras and their conformal modules ⋮ Associative conformal algebras with finite faithful representation. ⋮ Representations of twisted infinite Lie conformal superalgebras ⋮ On the cohomology of Leibniz conformal algebras ⋮ AUTOMORPHISMS AND FORMS OF SIMPLE INFINITE-DIMENSIONAL LINEARLY COMPACT LIE SUPERALGEBRAS ⋮ Simple associative conformal algebras of linear growth