Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras
Language: en
Pages: 113
Authors: Shari A. Prevost
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: American Mathematical Soc.

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We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. W
Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras
Language: en
Pages: 170
Authors: David Mitzman
Categories: Mathematics
Type: BOOK - Published: 1985 - Publisher: American Mathematical Soc.

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A revised version of the author's PhD thesis written under the supervision of J Lepowsky at Rutgers University in 1983.
Projective Modules over Lie Algebras of Cartan Type
Language: en
Pages: 97
Authors: Daniel Ken Nakano
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: American Mathematical Soc.

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This paper investigates the question of linkage and block theory for Lie algebras of Cartan type. The second part of the paper deals mainly with block structure
Generalized Vertex Algebras and Relative Vertex Operators
Language: en
Pages: 207
Authors: Chongying Dong
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed a
Mathematical Perspectives on Theoretical Physics
Language: en
Pages: 866
Authors: Nirmala Prakash
Categories: Science
Type: BOOK - Published: 2003 - Publisher: Imperial College Press

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Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical, mathematical and quantum physics.