Equivariant Zariski Structures
Logic
2015-06-12 v2 Algebraic Geometry
Representation Theory
Abstract
A new class of noncommutative -algebras (for an algebraically closed field) is defined and shown to contain some important examples of quantum groups. To each such algebra, a first order theory is assigned describing models of a suitable corresponding geometric space. Model-theoretic results for these geometric structures are established (uncountable categoricity, quantifier elimination to the level of existential formulas) and that an appropriate dimension theory exists, making them Zariski structures.
Keywords
Cite
@article{arxiv.1110.4964,
title = {Equivariant Zariski Structures},
author = {Vinesh Solanki},
journal= {arXiv preprint arXiv:1110.4964},
year = {2015}
}