Cohomology of Infinite-Dimensional Lie Algebras (Monographs in Contemporary Mathematics) - Tapa blanda

Fuks, D.B.

 
9781468487671: Cohomology of Infinite-Dimensional Lie Algebras (Monographs in Contemporary Mathematics)
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ISBN 10: 1468487671 ISBN 13: 9781468487671
Editorial: Springer, 2012

Sinopsis

There is no question that the cohomology of infinite­ dimensional Lie algebras deserves a brief and separate mono­ graph. This subject is not cover~d by any of the tradition­ al branches of mathematics and is characterized by relative­ ly elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo­ rems, which usually allow one to "recognize" any finite­ dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classifica­ tion theorems in the theory of infinite-dimensional Lie al­ gebras as well, but they are encumbered by strong restric­ tions of a technical character. These theorems are useful mainly because they yield a considerable supply of interest­ ing examples. We begin with a list of such examples, and further direct our main efforts to their study.

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Reseña del editor

There is no question that the cohomology of infinite­ dimensional Lie algebras deserves a brief and separate mono­ graph. This subject is not cover~d by any of the tradition­ al branches of mathematics and is characterized by relative­ ly elementary proofs and varied application. Moreover, the subject matter is widely scattered in various research papers or exists only in verbal form. The theory of infinite-dimensional Lie algebras differs markedly from the theory of finite-dimensional Lie algebras in that the latter possesses powerful classification theo­ rems, which usually allow one to "recognize" any finite­ dimensional Lie algebra (over the field of complex or real numbers), i.e., find it in some list. There are classifica­ tion theorems in the theory of infinite-dimensional Lie al­ gebras as well, but they are encumbered by strong restric­ tions of a technical character. These theorems are useful mainly because they yield a considerable supply of interest­ ing examples. We begin with a list of such examples, and further direct our main efforts to their study.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1468487671
ISBN 13 
9781468487671
Encuadernación
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Número de páginas
352
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780306109904: Cohomology of Infinite-Dimensional Lie Algebras: Contemporary Soviet Mathematics (Monographs in Contemporary Mathematics)

Edición Destacada

ISBN 10:  0306109905 ISBN 13:  9780306109904
Editorial: Kluwer Academic / Plenum Publishers, 1986
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