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Title: Affine Kac-Moody symmetric spaces related with A{sub 1}{sup (1)}, A{sub 2}{sup (1)}, A{sub 2}{sup (2)}

Abstract

Symmetric spaces associated with Lie algebras and Lie groups which are Riemannian manifolds have recently got a lot of attention in various branches of Physics for their role in classical/quantum integrable systems, transport phenomena, etc. Their infinite dimensional counter parts have recently been discovered which are affine Kac-Moody symmetric spaces. In this paper we have (algebraically) explicitly computed the affine Kac-Moody symmetric spaces associated with affine Kac-Moody algebras A{sub 1}{sup (1)},A{sub 2}{sup (1)},A{sub 2}{sup (2)}. We hope these types of spaces will play similar roles as that of symmetric spaces in many physical systems.

Authors:
;  [1]
  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha (India)
Publication Date:
OSTI Identifier:
22306075
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL SPACE; QUANTUM MECHANICS; RIEMANN SPACE; SYMMETRY

Citation Formats

Nayak, Saudamini, E-mail: anumama.nayak07@gmail.com, and Pati, K. C., E-mail: kcpati@nitrkl.ac.in. Affine Kac-Moody symmetric spaces related with A{sub 1}{sup (1)}, A{sub 2}{sup (1)}, A{sub 2}{sup (2)}. United States: N. p., 2014. Web. doi:10.1063/1.4889796.
Nayak, Saudamini, E-mail: anumama.nayak07@gmail.com, & Pati, K. C., E-mail: kcpati@nitrkl.ac.in. Affine Kac-Moody symmetric spaces related with A{sub 1}{sup (1)}, A{sub 2}{sup (1)}, A{sub 2}{sup (2)}. United States. doi:10.1063/1.4889796.
Nayak, Saudamini, E-mail: anumama.nayak07@gmail.com, and Pati, K. C., E-mail: kcpati@nitrkl.ac.in. Fri . "Affine Kac-Moody symmetric spaces related with A{sub 1}{sup (1)}, A{sub 2}{sup (1)}, A{sub 2}{sup (2)}". United States. doi:10.1063/1.4889796.
@article{osti_22306075,
title = {Affine Kac-Moody symmetric spaces related with A{sub 1}{sup (1)}, A{sub 2}{sup (1)}, A{sub 2}{sup (2)}},
author = {Nayak, Saudamini, E-mail: anumama.nayak07@gmail.com and Pati, K. C., E-mail: kcpati@nitrkl.ac.in},
abstractNote = {Symmetric spaces associated with Lie algebras and Lie groups which are Riemannian manifolds have recently got a lot of attention in various branches of Physics for their role in classical/quantum integrable systems, transport phenomena, etc. Their infinite dimensional counter parts have recently been discovered which are affine Kac-Moody symmetric spaces. In this paper we have (algebraically) explicitly computed the affine Kac-Moody symmetric spaces associated with affine Kac-Moody algebras A{sub 1}{sup (1)},A{sub 2}{sup (1)},A{sub 2}{sup (2)}. We hope these types of spaces will play similar roles as that of symmetric spaces in many physical systems.},
doi = {10.1063/1.4889796},
journal = {Journal of Mathematical Physics},
number = 8,
volume = 55,
place = {United States},
year = {Fri Aug 15 00:00:00 EDT 2014},
month = {Fri Aug 15 00:00:00 EDT 2014}
}