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Calculus of principally twisted vertex operators

Author: Leila Figueiredo
Publisher: Providence, R.I., USA : American Mathematical Society, ©1987.
Dissertation: Revision of the author's thesis (Ph. D.)--Rutgers University, 1985.
Series: Memoirs of the American Mathematical Society, no. 371.
Edition/Format:   Thesis/dissertation : Thesis/dissertation : EnglishView all editions and formats
Summary:
In this work we recover the construction of Kac-Kazhdan-Lepowsky-Wilson (1981) of the basic modules for the affine Lie algebras of types A([superscript]K), D([superscript]K), and E([superscript]K) using a new method.
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Details

Material Type: Thesis/dissertation, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leila Figueiredo
ISBN: 0821824341 9780821824344
OCLC Number: 16404094
Notes: "Volume 69, number 371."
Description: iv, 58 pages : illustrations, tables ; 26 cm.
Contents: Introduction --
Assumptions --
Preliminaries --
The main identity --
The brackets of the vertex operators --
The Lie algebras ĝ̲̲̲([lowercase Greek]Nu) and g̲̲̃([lowercase Greek]Nu) --
The g([lowercase Greek] Nu)-modules with 1-dimensional vacuum space --
Coxeter and twisted Coxeter automorphisms --
The affine Lie algebras of type A([superscript]K), D([superscript]K), and E([superscript]K) and their basic representations.
Series Title: Memoirs of the American Mathematical Society, no. 371.
Responsibility: Leila Figueiredo.

Abstract:

In this work we recover the construction of Kac-Kazhdan-Lepowsky-Wilson (1981) of the basic modules for the affine Lie algebras of types A([superscript]K), D([superscript]K), and E([superscript]K) using a new method.

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