Left-symmetric Algebras From Linear Functions [PDF]
Journal of Algebra 281 (2004) 651-665, 2004 In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain 2-dimensional left-symmetric algebras.
arxiv
Associative and Lie deformations of Poisson algebras [PDF]
Communications in Mathematics. 20 (2012), no.2, p117 to p136, 2011 Considering a Poisson algebra as a non associative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this non associative algebra. This gives a natural interpretation of deformations which preserves the underlying associative structure and we study deformations which preserve the underlying Lie ...
arxiv
Left-symmetric Superalgebra Structures on the Super-Virasoro Algebras [PDF]
Pacific Journal of Mathematics 235 (2008) 43-55, 2008 In this paper, we classify the compatible left-symmetric superalgebra structures on the super-Virasoro algebras satisfying certain natural conditions.
arxiv
Associating quantum vertex algebras to certain deformed Heisenberg Lie algebras [PDF]
arXiv, 2011 We associate quantum vertex algebras and their $\phi$-coordinated quasi modules to certain deformed Heisenberg algebras.
arxiv
Smoothness of Algebraic Supervarieties and Supergroups [PDF]
arXiv, 2007 In this paper we discuss the notion of smoothness in complex algebraic supergeometry and we prove that all affine complex algebraic supergroups are smooth. We then prove the stabilizer theorem in the algebraic context, providing some useful applications.
arxiv
Lie Algebras in Fock Space [PDF]
arXiv, 1997 A catalogue of explicit realizations of representations of (super) Lie algebras and quantum algebras in Fock space is presented.
arxiv
The Classification of n-Lie Algebras [PDF]
arXiv, 2010 This paper proves the isomorphic criterion theorem for (n+2)-dimensional n-Lie algebras, and gives a complete classification of (n+1)-dimensional n-Lie algebras and (n+2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.
arxiv
Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
, 2020 In this paper, we prove the first theorems on contractive projections on general noncommutative $\mathrm{L}^p$-spaces associated with non-type I von Neumann algebras where $1 < p < \infty$.
Arhancet, Cédric
core
B. Blackadar K-theory for operator algebras (Mathematical Sciences Research Institute Publications Vol. 5, Springer-Verlag, New York–Berlin, 1986), pp. 337, 3 540 96391 X, DM78. [PDF]
, 1989 Allan M. Sinclair
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Study of Three Different Operator Algebras and Some Contribution of Operator Algebra in Mathematics
, 2022 Surendra Ray +2 more
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