Published December 2012 | Version v1
Journal article

Loop realizations of quantum affine algebras

  • 1. Department of Mathematics, University of Southern California, Los Angeles, California, 90089 (United States)
  • 2. Department of Mathematics, Australian National University, Canberra (Australia)

Description

We give a simplified description of quantum affine algebras in their loop presentation. This description is related to Drinfeld's new realization via halves of vertex operators. We also define an idempotent version of the quantum affine algebra which is suitable for categorification.

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Mathematical Physics
Journal Volume
53
Journal Issue
12
Journal Page Range
p. 123505-123505.18
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44052414
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; MATHEMATICAL SOLUTIONS; QUANTUM MECHANICS; QUANTUM OPERATORS; VERTEX FUNCTIONS
Descriptors DEC
FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS

Optional Information

Notes
(c) 2012 American Institute of Physics