Results 11 to 20 of about 225,328 (312)
Simple Current Extensions of Tensor Products of Vertex Operator Algebras [PDF]
International mathematics research notices, 2018 We study simple current extensions of tensor products of two vertex operator algebras satisfying certain conditions. We establish the relationship between the fusion rule for the simple current extension and the fusion rule for a tensor factor.
H. Yamada, H. Yamauchi
semanticscholar +1 more source
Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras [PDF]
Journal of Mathematics and Physics, 2020 In this paper, we introduce twisted Rota-Baxter operators on Lie algebras as an operator analogue of twisted r-matrices. We construct a suitable $L_\infty$-algebra whose Maurer-Cartan elements are given by twisted Rota-Baxter operators. This allows us to
A. Das
semanticscholar +1 more source
ENFORCEABLE OPERATOR ALGEBRAS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 We adapt the classical notion of building models by games to the setting of continuous model theory. As an application, we study to what extent canonical operator algebras are enforceable models. For example, we show that the hyperfinite II1 factor is an
Isaac Goldbring
semanticscholar +1 more source
Modular framed vertex operator algebras [PDF]
European Journal of Mathematics, 2017 Framed vertex operator algebras over any algebraically closed field whose characteristic is different from 2 and 7 are studied. In particular, the rationality of framed vertex operator algebras is established.
C. Dong, C. Lam, Li Ren
semanticscholar +1 more source
Level-Rank Duality for Vertex Operator Algebras of types B and D [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2017 For the simple Lie algebra $ \frak{so}_m$, we study the commutant vertex operator algebra of $ L_{\widehat{\frak{so}}_{m}}(n,0)$ in the $n$-fold tensor product $ L_{\widehat{\frak{so}}_{m}}(1,0)^{\otimes n}$.
Cuipo Jiang, C. Lam
semanticscholar +1 more source
Lattice isomorphisms between projection lattices of von Neumann algebras [PDF]
Forum of Mathematics, Sigma, 2020 Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable operators.
Michiya Mori
semanticscholar +1 more source
One functional operator inversion formula
Mathematical Modelling and Analysis, 2001 Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
doaj +1 more source
71 holomorphic vertex operator algebras of central charge 24
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2019 In this article, we give a survey on the recent progress towards the classification of strongly regular holomorphic vertex operator algebras of central charge 24.
C. Lam, Hiroki Shimakura
semanticscholar +1 more source
Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra [PDF]
Annals of Mathematics, 2019 We prove a dimension formula for the weight-1 subspace of a vertex operator algebra $V^{\operatorname{orb}(g)}$ obtained by orbifolding a strongly rational, holomorphic vertex operator algebra $V$ of central charge 24 with a finite order automorphism $g$.
Sven Möller, Nils R. Scheithauer
semanticscholar +1 more source
A Formal Mathematical Semantics of Advanced Operations of Multiset Table Algebra [PDF]
The 7th International Conference on Information Technology, 2015 Multiset table algebra is considered. The notion of a table specified using the notion of a multiset (or bag). A signature of multiset table algebra is filled up with new operations such as inner and outer joins, semi-join and aggregate operations. A formal mathematical semantics of these operations is defined.
openaire +1 more source