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Lie Algebras of Bounded Operators
Beltita, Daniel; Sabac, Mihai
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Description for Lie Algebras of Bounded Operators
Paperback. Series: Operator Theory: Advances and Applications. Num Pages: 227 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 361.
In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on ... Read more
In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer Basel Switzerland
Number of pages
227
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
219
Place of Publication
Basel, Switzerland
ISBN
9783034895200
SKU
V9783034895200
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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