Results 1 to 10 of about 477 (51)
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
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
Lie Superalgebras arising from bosonic representation [PDF]
, 2012 A 2-toroidal Lie superalgebra is constructed using bosonic fields and a ghost field. The superalgebra contains $osp(1|2n)^{(1)}$ as a distinguished subalgebra and behaves similarly to the toroidal Lie superalgebra of type $B(0, n)$.
Jing, Naihuan, Xu, Chongbin
core +1 more source
Bosonic realization of toroidal Lie algebras of classical types [PDF]
, 2009 Generalizing Feingold-Frenkel's construction we use Weyl bosonic fields to construct toroidal Lie algebras of types $A_n, B_n$, $C_n$ and $D_n$ of level $-1, -2, -1/2$ and -2 respectively.
Jing, Naihuan +2 more
core +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
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
The Virasoro Algebra and Some Exceptional Lie and Finite Groups [PDF]
, 2006 We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Tuite, Michael P.
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