Quantum polynomial functors

JOURNAL OF ALGEBRA

卷:479

Article

Hong, Jiuzu¹  Yacobi, Oded² 

[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

[2] Univ Sydney, Sch Math & Stat, Sydney, NSW, Australia

关键词: Quantum polynomial functors;    q-Schur algebra;    Hecke algebra;    Quantum invariant theory;   

DOI  :  10.1016/j.jalgebra.2017.01.030

来源: Elsevier

【 摘 要 】

We construct a category of quantum polynomial functors which deforms Friedlander and Suslin's category of strict polynomial functors. The main aim of this paper is to develop from first principles the basic structural properties of this category (duality, projective generators, braiding etc.) in analogy with classical strict polynomial functors. We then apply the work of Hashimoto and Hayashi in this context to construct quantum Schur/Weyl functors, and use this to provide new and easy derivations of quantum (GL(m), GL(n),) duality, along with other results in quantum invariant theory. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free