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Affine Kac-Moody symmetric spaces related with and . Saudamini Nayak and K. C. Pati, Department of Mathematics, National Institute of Technology Rourkela.

S
ymmetric 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 , . We hope these types of spaces will play similar roles as that of symmetric spaces in many physical systems. More in: J. Math. Phys. 55 , 081701 (2014)
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