Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras

preprint2005arXivOpen access

We study the crystal base of the negative part of a quantum group. An explicit realization of the crystal is given in terms of Young tableaux for types $A_n$ , $B_n$ , $C_n$ , $D_n$ , and $G_2$ . Connection between our realization and a previous realization of Cliff is also given.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Young tableaux and crystal B(∞)B(\infty)B(∞) for finite simple Lie algebras

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Young tableaux and crystal $B(\infty)$ for finite simple Lie algebras