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Classification of reflection matrices for quasistandard quantum affine Kac-Moody pairs of classical type

Regelskis, V and Vlaar, B (2016) Classification of reflection matrices for quasistandard quantum affine Kac-Moody pairs of classical type

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Abstract

We classify trigonometric reflection matrices for vector representation of quasistandard quantum affine Kac-Moody pairs of classical Lie type. The coideal subalgebras involved are described by admissible pairs, which are in one-to-one correspondence with affine Satake diagrams. The reflection matrices are found by solving the associated boundary intertwining equation. Quasistandard coideal subalgebras are a generalization of standard coideal subalgebras as defined by Letzter and Kolb; the associated K-matrices in the vector representation have particularly elegant representation-theoretic properties. Additional characteristics such as minimal polynomials and affinization relations are also investigated.

Item Type: Article
Authors :
NameEmailORCID
Regelskis, Vv.regelskis@surrey.ac.ukUNSPECIFIED
Vlaar, BUNSPECIFIEDUNSPECIFIED
Date : 26 February 2016
Uncontrolled Keywords : math-ph, math-ph, math.MP, math.QA, math.RT, nlin.SI
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:48
Last Modified : 17 May 2017 13:48
URI: http://epubs.surrey.ac.uk/id/eprint/840425

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