Year: 1995
Type: article
Abstract: We consider the possible covariant external algebra structures for Cartan's 1-forms ( Omega ) on GL q (N) and SL q (N). Our starting point is that the Omega realize an adjoint representation of quantum group and all monomials of the Omega possess the unique ordering. For the external algebras obtained define the differential mapping d possessing the usual nilpotence condition, and the generally deformed version of the Leibnitz rules. The status of the known examples of GL q (N)-differential calculi in the proposed classification scheme and the problems of SL q (N)-reduction are discussed.
Authors: A P Isaev, P N Pyatov
Institution: Joint Institute for Nuclear Research
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2021670972