English

Decorated Geometric Crystals and Polyhedral Realizations of type D_n

Quantum Algebra 2013-08-06 v1 Combinatorics Representation Theory

Abstract

This is a continuation of [15, 16]. We shall show that for type D_n the realization of crystal bases obtained from the decorated geometric crystals in [2] coincides with the polyhedral realizations of crystal bases.

Keywords

Cite

@article{arxiv.1308.0981,
  title  = {Decorated Geometric Crystals and Polyhedral Realizations of type D_n},
  author = {Toshiki Nakashima},
  journal= {arXiv preprint arXiv:1308.0981},
  year   = {2013}
}

Comments

14 pages, to appear in Contemporary Mathematics. arXiv admin note: substantial text overlap with arXiv:1203.2112