Realization of the basic representations of the Euclidean Lie algebras
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This article is published in Advances in Mathematics.The article was published on 1981-10-01 and is currently open access. It has received 197 citations till now. The article focuses on the topics: Representation of a Lie group & Adjoint representation of a Lie algebra.read more
Citations
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Heterotic string theory (I). The free heterotic string
TL;DR: In this article, a new theory of closed orientable superstrings is constructed as a chiral combination of the closed D = 26 bosonic and D = 10 fermionic strings.
Journal ArticleDOI
Basic representations of affine Lie algebras and dual resonance models
Igor Frenkel,Victor G. Kac +1 more
Journal ArticleDOI
Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type
TL;DR: In this paper, a new approach to soliton equations, based on τ functions (or Hirota's dependent variables), vertex operators and the Clifford algebra of free fermions, is applied to study a new hierarchy of Kadomtsev-Petviashvili type equations (the BKP hierarchy).
References
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Journal ArticleDOI
Basic representations of affine Lie algebras and dual resonance models
Igor Frenkel,Victor G. Kac +1 more
Book ChapterDOI
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
TL;DR: In this paper, it was shown that the Poincare polynomial p G (t) of G factors into the form of the adjoint adjoint group of G.
Journal ArticleDOI
Simple irreducible graded lie algebras of finite growth
TL;DR: In this paper, the simple graded Lie algebras were classified for which the dimension of the space grows as some power of, under the additional assumption that the adjoint representation of on is irreducible.
Journal ArticleDOI
Construction of the affine Lie algebra A1 (1)
James Lepowsky,Robert Lee Wilson +1 more
TL;DR: In this article, the affine Lie algebra is constructed as an algebra of differential operators on ℂ[x 1,x 2,x 3,x 4,x 5,...], spanned by the creation and annihilation operators and by the homogeneous components of a certain exponential generating function.