Generatingq-Commutator Identities and theq-BCH Formula
نویسندگان
چکیده
منابع مشابه
Identities for the Ternary Commutator
If n is any positive integer, then an n-algebra is a vector space A over a field F together with a linear map v : Amn a A, where Amn denotes the n-fold tensor power of A. In the case n s 3 we say that A is a ternary Ž . algebra or triple system . To simplify notation, we write a a ??? a 1 2 n Ž . Ž . instead of v a m a m ??? m a for a g A 1 F i F n . 1 2 n i Given the n-algebra A, we can define...
متن کاملMore on Five Commutator Identities
We prove that five well-known identities universally satisfied by commutators in a group generate all universal commutator identities for commutators of weight 4.
متن کاملHigher Identities for the Ternary Commutator
We use computer algebra to study polynomial identities for the trilinear operation [a, b, c] = abc − acb − bac + bca + cab − cba in the free associative algebra. It is known that [a, b, c] satisfies the alternating property in degree 3, no new identities in degree 5, a multilinear identity in degree 7 which alternates in 6 arguments, and no new identities in degree 9. We use the representation ...
متن کاملSiegel’s formula via Stein’s identities
Inspired by a surprising formula in Siegel (1993), we find it convenient to compute covariances, even for order statistics, by using Stein (1972)’s identities. Generalizations of Siegel’s formula to other order statistics as well as other distributions are obtained along this line.
متن کاملGreen’s Formula and the Hardy-stein Identities
This is a collection of some known and some new facts on the holomorphic and the harmonic version of the Hardy-Stein identity as well as on their extensions to the real and the complex ball. For example, we prove that if f is holomorphic on the unit disk D, then ‖f‖Hp 3 |f(0)| + Z D |f(z)|p−2|f ′(z)|2(1− |z|) dA(z), (†) where H is the p-Hardy space, which improves a result of Yamashita [Proc. A...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2016
ISSN: 1687-9120,1687-9139
DOI: 10.1155/2016/9598409