Formal power series, operator calculus, and duality on Lie algebras
نویسندگان
چکیده
منابع مشابه
Formal power series, operator calculus, and duality on Lie algebras
This paper presents an operator calculus approach to computing with non-commutative variables. First, we recall the product formulation of formal exponential series. Then we show how to formulate canonical boson calculus on formal series. This calculus is used to represent the action of a Lie algebra on its universal enveloping algebra. As applications, Hamilton's equations for a general Hamilt...
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Pseudodifferential operators are formal Laurent series in the formal inverse ∂−1 of the derivative operator ∂ whose coefficients are holomorphic functions. Given a pseudodifferential operator, the corresponding formal power series can be obtained by using some constant multiples of its coefficients. The space of pseudodifferential operators is a noncommutative algebra over C and therefore has a...
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متن کاملlie-type higher derivations on operator algebras
motivated by the intensive and powerful works concerning additive mappings of operator algebras, we mainly study lie-type higher derivations on operator algebras in the current work. it is shown that every lie (triple-)higher derivation on some classical operator algebras is of standard form. the definition of lie $n$-higher derivations on operator algebras and related pote...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1998
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(97)00113-1