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Structure of the level one standard modules for the affine Lie algebras B̃l⁽¹⁾, F₄⁽¹⁾, and G₂⁽¹⁾ Preview this item
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Structure of the level one standard modules for the affine Lie algebras B̃l⁽¹⁾, F₄⁽¹⁾, and G₂⁽¹⁾

Author: Marly Mandia
Publisher: Providence, R.I., USA : American Mathematical Society, 1987.
Series: Memoirs of the American Mathematical Society, no. 362.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Marly Mandia
ISBN: 0821824236 9780821824238
OCLC Number: 14904328
Notes: On t.p. "l" in "B̃l⁽¹⁾" is subscript.
"January 1987, volume 65, number 362."
Description: x, 146 pages : illustrations ; 26 cm.
Contents: Preliminaries. The principal picture of the affine Lie algebras of type X(¹) ; The algebra ZL([lambda]) and the vacuum space ; The generalized commutation relations for ZL([lambda]) ; The principal character for the affine Lie algebras, and the basic modules --
Structure of the standard B̃l-modules of level one. B̃l as a subalgebra of Dl+1 ; The principal Cartan subalgebras of Dl+1 and B̃l and the corresponding principal automorphisms ; The standard B̃l-modules of level 1 --
Structure of the standard G̃₂-modules of level one. G̃₂ as a subslgebra of D₄ ; The principal Cartan subalgebras of D₄ and G̃₂ and the corresponding principal automorphisms ; The generalized anticommutation relations for ZL([lambda]) when L([lambda]) is a standard G̃₂-module of level one ; The standard G̃₂-modules of level one --
Structure of the standard F₄-modules of level one. F₄ as a subalgebra of E₆ ; The principal Cartan subalgebras of E₆ and F₄ and the corresponding principal automorphisms ; The generalized anticommutation relations for ZL([lambda]) when L([lambda]) is a standard F₄-module of level one ; The standard F₄-modules of level one.
Series Title: Memoirs of the American Mathematical Society, no. 362.
Responsibility: Marly Mandia.

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