Iterated twisted tensor products of nonlocal vertex algebras
نویسندگان
چکیده
منابع مشابه
On Iterated Twisted Tensor Products of Algebras
We introduce and study the definition, main properties and applications of iterated twisted tensor products of algebras, motivated by the problem of defining a suitable representative for the product of spaces in noncommutative geometry. We find conditions for constructing an iterated product of three factors, and prove that they are enough for building an iterated product of any number of fact...
متن کاملConnections over Twisted Tensor Products of Algebras
Motivated from some results in classical differential geometry, we give a constructive procedure for building up a connection over a (twisted) tensor product of two algebras, starting from connections defined on the factors. The curvature for the product connection is explicitly calculated, and shown to be independent of the choice of the twisting map and the module twisting map used to define ...
متن کاملCohomology of Twisted Tensor Products
It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extent this is still true. We give an explicit description of the Ext-algebra of the tensor product of two modules, and under certain additional conditions, describe an essential part of the Hochschild cohomology ring of a t...
متن کاملTwisted vertex representations of quantum affine algebras
Recent interests in quantum groups are stimulated by their marvelous relations with quantum Yang-Baxter equations, conformal field theory, invariants of links and knots, and q-hypergeometric series. Besides understanding the reason of the appearance of quantum groups in both mathematics and theoretical physics there is a natural problem of finding q-deformations or quantum analogues of known st...
متن کاملTwisted Representations of Vertex Operator Algebras
Let V be a vertex operator algebra and g an automorphism of finite order. We construct an associative algebra Ag(V ) and a pair of functors between the category of Ag(V )-modules and a certain category of admissible g-twisted V -modules. In particular, these functors exhibit a bijection between the simple modules in each category. We give various applications, including the fact that the comple...
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: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.01.039