Results 1 to 10 of about 45 (18)

Cosimplicial meromorphic functions cohomology on complex manifolds [PDF]

Reviews in Mathematical Physics, 2021
Developing ideas of [13], we introduce canonical cosimplicial cohomology of meromorphic functions for infinite-dimensional Lie algebra formal series with prescribed analytic behavior on domains of a complex manifold M .
A. Zuevsky
semanticscholar   +1 more source

A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra

Forum of Mathematics, Sigma, 2023
We give a lattice theoretical interpretation of generalized deep holes of the Leech lattice VOA $V_\Lambda $ . We show that a generalized deep hole defines a ‘true’ automorphism invariant deep hole of the Leech lattice. We also show that there is a
Ching Hung Lam, Masahiko Miyamoto
doaj   +1 more source

Monstrous Moonshine: The First Twenty‐Five Years [PDF]

, 2004
Twenty‐five years ago, Conway and Norton published in this journal their remarkable paper ‘Monstrous Moonshine’, proposing a completely unexpected relationship between finite simple groups and modular functions.
T. Gannon
semanticscholar   +1 more source

The rank-2 lattice-type vertex operator algebras $V_L^+$ and their automorphism groups [PDF]

, 2004
Let L be a positive definite even lattice and V + L be the fixed points of the lattice VOA VL associated to L under an automorphism of VL lifting the −1 isometry of L.
C. Dong, R. Griess
semanticscholar   +1 more source

A construction of some ideals in affine vertex algebras

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 971-980, 2003., 2003
We study ideals generated by singular vectors in vertex operator algebras associated with representations of affine Lie algebras of types A and C. We find new explicit formulas for singular vectors in these vertex operator algebras at integer and half‐integer levels.
Dražen AdamoviĆ
wiley   +1 more source

Algebraic proofs for shallow water bi–Hamiltonian systems for three cocycle of the semi-direct product of Kac–Moody and Virasoro Lie algebras

Open Mathematics, 2018
We prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras.
Zuevsky A.
doaj   +1 more source

THE MOONSHINE MODULE FOR CONWAY’S GROUP

Forum of Mathematics, Sigma, 2015
We exhibit an action of Conway’s group – the automorphism group of the Leech lattice – on a distinguished super vertex operator algebra, and we prove that the associated graded trace functions are normalized principal moduli, all having vanishing ...
JOHN F. R. DUNCAN, SANDER MACK-CRANE
doaj   +1 more source

New modular form identities associated to generalized vertex operator algebras

, 2015
New identities appearing from consideration of higher genus characters for generalized vertex operator algebras with a formal VOSA parameter associated to a local coordinate on a self-sewn Riemann surface are considered.
A. Zuevsky
semanticscholar   +1 more source

Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras

Forum of Mathematics, Sigma
We develop techniques to construct isomorphisms between simple affine W-algebras and affine vertex algebras at admissible levels. We then apply these techniques to obtain many new, and conjecturally all, admissible collapsing levels for affine W-algebras.
Tomoyuki Arakawa, Jethro van Ekeren, Anne Moreau   +2 more
doaj   +1 more source

Gauge invariant and generic formulation of magnetic translations and so(3,1) Curtright-zachos generators

Nuclear Physics B
We propose a gauge-invariant formulation of magnetic translation (GMT) operators, eliminating the gauge dependence that conventional definitions suffer from due to specific gauge choices.
Haru-Tada Sato
doaj   +1 more source