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Functional Analysis and Its Applications, 1991
Let \(C\) be a projective complex algebraic curve with two distinguished points \(P_{\pm}\) and let \(A\) be the ring of meromorphic functions on \(C\), holomorphic outside \(\{P_{\pm}\}\). Let \(\mathfrak g\) be a complex finite dimensional simple Lie algebra. The Lie algebra \(\mathfrak g\otimes A\) and a one-dimensional central extension \(\mathfrak
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Let \(C\) be a projective complex algebraic curve with two distinguished points \(P_{\pm}\) and let \(A\) be the ring of meromorphic functions on \(C\), holomorphic outside \(\{P_{\pm}\}\). Let \(\mathfrak g\) be a complex finite dimensional simple Lie algebra. The Lie algebra \(\mathfrak g\otimes A\) and a one-dimensional central extension \(\mathfrak
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Mathematics of the USSR-Sbornik, 1991
The paper is devoted to the construction of affine Kac-Moody algebras via defining relations arising from an integral affine Cartan matrix, in the case where the ground field has positive characteristic p > 7. Explicit constructions are given for algebras obtained in this way; in distinction with the zero characteristic case they have infinite ...
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The paper is devoted to the construction of affine Kac-Moody algebras via defining relations arising from an integral affine Cartan matrix, in the case where the ground field has positive characteristic p > 7. Explicit constructions are given for algebras obtained in this way; in distinction with the zero characteristic case they have infinite ...
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A class of irreducible modules for the extended affine Lie algebra
, 2009We construct a class of modules for extended affine Lie algebra by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.
Ziting Zeng
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Affine Lie algebras and vertex operator algebras
1993In this chapter we shall discuss standard (or integrable highest weight) representations of affine Kac-Moody algebras from the point of view of vertex operator algebra theory. This will also provide the setting for the next chapter. We restrict our attention to a simple Lie algebra G of type A, D or E.
Chongying Dong, James Lepowsky
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Imaginary Verma Modules for Affine Lie Algebras
Canadian Mathematical Bulletin, 1994AbstractWe study a class of irreducible modules for Affine Lie algebras which possess weight spaces of both finite and infinite dimensions. These modules appear as the quotients of "imaginary Verma modules" induced from the "imaginary Borel subalgebra".
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New Irreducible Components of the Space of Foliations Associated to the Affine Lie Algebra
, 2017R. Lizarbe
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Structure of the standard modules for the affine Lie algebra A[(1)] [1]
, 1985J. Lepowsky, M. Primc
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Irreducible components of the space of foliations associated to the affine Lie algebra
Ergodic Theory and Dynamical Systems, 2004O. Calvo-Andrade +3 more
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Variational algorithms for linear algebra
Science Bulletin, 2021Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly
The affine lie algebra C(1)2 and an equation of Hirota and Satsuma
, 1982G. Wilson
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