Infinite Dimensional Lie Algebras
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Published By Birkhäuser Boston

9781475713848, 9781475713824

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Integrable representations and the Weyl group of a Kac-Moody algebra

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_3 ◽

1983 ◽

pp. 25-37

Author(s):

Victor G. Kac

Keyword(s):

Weyl Group ◽

Moody Algebra

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The invariant bilinear form and the generalized Casimir operator

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_2 ◽

1983 ◽

pp. 14-24

Author(s):

Victor G. Kac

Keyword(s):

Bilinear Form ◽

Casimir Operator ◽

Invariant Bilinear Form

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Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_6 ◽

1983 ◽

pp. 63-72

Author(s):

Victor G. Kac

Keyword(s):

Weyl Group ◽

Root System ◽

Lie Algebras ◽

Bilinear Form ◽

Affine Lie Algebras ◽

Invariant Bilinear Form

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The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_14 ◽

1983 ◽

pp. 190-225

Author(s):

Victor G. Kac

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Basic Representation ◽

Linear Partial Differential Equations ◽

Non Linear

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Integrable highest weight modules: the character formula

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_10 ◽

1983 ◽

pp. 119-133

Author(s):

Victor G. Kac

Keyword(s):

Character Formula ◽

Highest Weight ◽

Highest Weight Modules ◽

Weight Modules

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Real and imaginary roots

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_5 ◽

1983 ◽

pp. 50-62 ◽

Cited By ~ 10

Author(s):

Victor G. Kac

Keyword(s):

Imaginary Roots

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Basic definitions

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_1 ◽

1983 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Victor G. Kac

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Highest weight modules over the Lie algebra g(A)

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_9 ◽

1983 ◽

pp. 103-118 ◽

Cited By ~ 1

Author(s):

Victor G. Kac

Keyword(s):

Lie Algebra ◽

Highest Weight ◽

Highest Weight Modules ◽

Weight Modules

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Integrable highest weight modules over affine Lie algebras. Application to η-function identities

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_12 ◽

1983 ◽

pp. 150-164

Author(s):

Victor G. Kac

Keyword(s):

Lie Algebras ◽

Affine Lie Algebras ◽

Highest Weight ◽

Highest Weight Modules ◽

Weight Modules

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Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem

Infinite Dimensional Lie Algebras ◽

10.1007/978-1-4757-1382-4_11 ◽

1983 ◽

pp. 134-149

Author(s):

Victor G. Kac

Keyword(s):

Hermitian Form ◽

Weight System ◽

Highest Weight ◽

Highest Weight Modules ◽

Restriction Problem ◽

Weight Modules

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