pith. sign in

arxiv: 1310.6211 · v1 · pith:ML53RO4Pnew · submitted 2013-10-23 · 🧮 math.RT · math.QA

Crystal Bla in B(infty) for G₂ type Lie Algebra

classification 🧮 math.RT math.QA
keywords descriptioncrystaltableauxtermsalgebrainftylargemarginally
0
0 comments X
read the original abstract

A previous work gave a combinatorial description of the crystal $B(\infty)$, in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dimensional simple Lie algebras. Using this result, we present an explicit description of the crystal $B(\lambda)$, in terms of the marginally large tableaux, for the $G_2$ Lie algebra type. We also provide a new description of $B(\la)$, in terms of Nakajima monomials, that is in natural correspondence with our tableau description.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.