Results 21 to 30 of about 372,784 (167)
Nonclassifiability of UHF $L^p$-operator algebras
, 2015 We prove that simple, separable, monotracial UHF $L^{p}$-operator algebras are not classifiable up to (complete) isomorphism using countable structures, such as K-theoretic data, as invariants.
Gardella, Eusebio, Lupini, Martino
core +1 more source
Vertex Lie algebras, vertex Poisson algebras and vertex algebras [PDF]
arXiv, 2001 The notions of vertex Lie algebra and vertex Poisson algebra are presented and connections among vertex Lie algebras, vertex Poisson algebras and vertex algebras are discussed.
arxiv
Log-majorization type inequalities [PDF]
Several inequalities have been established in the context of Hilbert spaces operators or operator algebras. Our discussion will be limited to matrices.
Bebiano, N., Lemos, R., Soares, G.
core +1 more source
Identities and derivations for Jacobian algebras [PDF]
arXiv, 2002 Constructions of n-Lie algebras by strong n-Lie-Poisson algebras are given. First cohomology groups of adjoint module of Jacobian algebras are calculated. Minimal identities of 3-Jacobian algebra are found.
arxiv
Some open problems in mathematical two-dimensional conformal field theory
, 2017 We discuss some open problems in a program of constructing and studying two-dimensional conformal field theories using the representation theory of vertex operator algebras.Comment: 16 pages. Typos are corrected and some sentences are adjusted.
Huang, Yi-Zhi
core +1 more source
Chiral algebras, factorization algebras, and Borcherds's "singular commutative rings" approach to vertex algebras [PDF]
arXiv, 2019 We recall Borcherds's approach to vertex algebras via "singular commutative rings", and introduce new examples of his constructions which we compare to vertex algebras, chiral algebras, and factorization algebras. We show that all vertex algebras (resp.
arxiv
Logic and operator algebras [PDF]
, 2014 The most recent wave of applications of logic to operator algebras is a young and rapidly developing field.
Farah, Ilijas
core +1 more source
, 2014 For any given bounded symmetric domain, we prove the existence of commutative $C^*$-algebras generated by Toeplitz operators acting on any weighted Bergman space.
Dawson, Matthew +2 more
core +1 more source
Zero divisors in reduction algebras [PDF]
arXiv, 2011 We establish the absence of zero divisors in the reduction algebra of a Lie algebra g with respect to its reductive Lie sub-algebra k. The class of reduction algebras include the Lie algebras (they arise when k is trivial) and the Gelfand--Kirillov conjecture extends naturally to the reduction algebras.
arxiv
Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core +3 more sources