منابع مشابه
Polynomial Extensions of the Weyl C*-Algebra
We introduce higher order (polynomial) extensions of the unique (up to isomorphisms) non trivial central extension of the Heisenberg algebra. Using the boson representation of the latter, we construct the corresponding polynomial analogue of the Weyl C*-algebra and use this result to deduce the explicit form of the composition law of the associated generalization of the 1-dimensional Heisenberg...
متن کاملCyclic Cohomology of the Weyl Algebra
We give an explicit formula for sp2n-basic representatives of the cyclic cohomology of the Weyl algebra HC(A2n). This paper can be seen as cyclic addendum to the paper [6] by Feigin, Felder and Shoikhet, where the analogous Hochschild case was treated. As an application, we prove a generalization of a Theorem of Nest and Tsygan concerning the relation of the Todd class and the cyclic cohomology...
متن کاملThe κ−Weyl group and its algebra
The κ−Poincare group and its algebra in an arbitrary basis are constructed. The κ−deformation of the Weyl group and its algebra in any dimentions and in the reference frame in which g00 = 0 are discussed.
متن کاملDesingularization in the q-Weyl algebra
In this paper, we study the desingularization problem in the first qWeyl algebra. We give an order bound for desingularized operators, and thus derive an algorithm for computing desingularized operators in the first q-Weyl algebra. Moreover, an algorithm is presented for computing a generating set of the first q-Weyl closure of a given q-difference operator. As an application, we certify that s...
متن کاملNilCoxeter algebras categorify the Weyl algebra
In this paper we present an example of elaborate categorical structures hidden in very simple algebraic objects. We look at the algebra of polynomial differential operators in one variable x, also known as the Weyl algebra, and its irreducible representation in the ring of polynomials Q[x]. We construct an abelian category C whose Grothendieck group can be naturally identified with the ring of ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2019
ISSN: 0001-8708
DOI: 10.1016/j.aim.2019.01.005