Dual Lie Bialgebras of Witt and Virasoro Types [PDF]
arXiv, 2013 Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt algebra and the Virasoro algebra are investigated. As a result, we obtain some infinite dimensional Lie algebras.
arxiv
D. E. Evans and M. Takesaki Operator algebras and applications, Volume 1: Structure theory; K-theory, geometry and topology; Volume 2: Mathematical physics and subfactors (London Mathematical Society Lecture Note Series 135, 136, Cambridge University Press, Cambridge1988) Vol. 1, viii + 244 pp, paper: 0 521 36843 X, £17.50; Vol. 2, viii + 240 pp, paper: 0 521 36844 8, £17.50. [PDF]
, 1989 Allan M. Sinclair
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Algebras Satisfying Triality and S_4-symmetry [PDF]
arXiv, 2015 We give a review of recent works for non-associative algebras, especially Lie algebras satisfying the triality relation. They are also intimately related to S_4 (symmetric group of 4-objects) symmetry of the Lie algebras.
arxiv
Vertex Operator Algebras in Mathematics and Physics [PDF]
, 2003 Stephen Berman +3 more
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Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms are Novikov algebras [PDF]
arXiv, 2015 This paper is to prove that a fermionic Novikov algebra equipped with an invariant non-degenerate symmetric bilinear form is a Novikov algebra.
arxiv
A note on vertex algebras and Costello-Gwilliam factorization algebras [PDF]
arXivWe show that the construction of vertex algebras from Costello-Gwilliam factorization algebras on $\mathbb{C}$ can be achieved without the discreteness condition on the weight spaces. Furthermore, we construct locally constant factorization algebras from commutative vertex algebras, and discuss the relationship between this construction and the jet ...
arxiv
On $CR$ mappings between algebraic Cauchy--Riemann manifolds and separate algebraicity for holomorphic functions [PDF]
arXiv, 1994 We prove the algebraicity of smooth $CR$-mappings between algebraic Cauchy--Riemann manifolds. A generalization of separate algebraicity principle is established.
arxiv
Algebra of Fractions of Algebra with Conjugation [PDF]
arXiv, 2012 In the paper, I considered construction of algebra of fractions of algebra with conjugation. I also considered algebra of polynomials and algebra of rational mappings over algebra with conjugation.
arxiv
H. Hanche-Olsen and E. Stormer Jordan operator algebras (Monographs and Studies in Mathematics, Vol. 21, Pitman, 1984), 183 pp. £27.50. [PDF]
, 1985 Martin Alexander Youngson
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Covering AlgebrasI: Extended Affine Lie Algebras [PDF]
J. Algebra 250 (2002), 485-516, 2001 Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
arxiv