English

Braided Symmetric and Exterior Algebras

Quantum Algebra 2007-10-29 v4 Representation Theory

Abstract

We introduce and study symmetric and exterior algebras in braided monoidal categories such as the category O for quantum groups. We relate our braided symmetric algebras and braided exterior algebas with their classical counterparts.

Keywords

Cite

@article{arxiv.math/0504155,
  title  = {Braided Symmetric and Exterior Algebras},
  author = {Arkady Berenstein and Sebastian Zwicknagl},
  journal= {arXiv preprint arXiv:math/0504155},
  year   = {2007}
}

Comments

45 pages, to appear in Transactions, some typos are corrected