Results 1 to 10 of about 421 (19)
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
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
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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.
core +6 more sources
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.
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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
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Homotopy Relations for Topological VOA
, 2012 We consider a parameter-dependent version of the homotopy associative part of the Lian-Zuckerman homotopy algebra and provide the interpretation of multilinear operations of this algebra in terms of integrals over certain polytopes.
ANTON M. ZEITLIN +9 more
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Half-axes in power associative algebras
, 2018 Let $A$ be a commutative, non-associative algebra over a field $\mathbb{F}$ of characteristic $\ne 2$. A half-axis in $A$ is an idempotent $e\in A$ such that $e$ satisfies the Peirce multiplication rules in a Jordan algebra, and, in addition, the $1 ...
Segev, Yoav
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Vertex-algebraic structure of the principal subspaces of certain A_1^(1)-modules, I: level one case
, 2007 This is the first in a series of papers in which we study vertex-algebraic structure of Feigin-Stoyanovsky's principal subspaces associated to standard modules for both untwisted and twisted affine Lie algebras.
A. MILAS +11 more
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Z-graded weak modules and regularity
, 2011 It is proved that if any Z-graded weak module for vertex operator algebra V is completely reducible, then V is rational and C_2-cofinite. That is, V is regular.
C. Dong +20 more
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