Work

Young wall realization of crystal bases for classical Lie algebras

Year: 2003

Type: article

Abstract: In this paper, we give a new realization of crystal bases for finite-dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain Young walls lying between highest weight and lowest weight vectors.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/s0002-9947-03-03400-7

Authors: Seok-Jin Kang, Jeong-Ah Kim, Hyeonmi Lee, Dong-Uy Shin

Institutions: Korea Institute for Advanced Study, Seoul National University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Seoul National University, Korea Science and Engineering Foundation, Division of Mathematical Sciences

OpenAlex ID: W2138175494