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
Full text not available from this repository.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 | |||||||||
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Divisions : | Surrey research (other units) | |||||||||
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Date : | 26 February 2016 | |||||||||
Uncontrolled Keywords : | math-ph, math-ph, math.MP, math.QA, math.RT, nlin.SI | |||||||||
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Depositing User : | Symplectic Elements | |||||||||
Date Deposited : | 17 May 2017 13:48 | |||||||||
Last Modified : | 25 Jan 2020 00:23 | |||||||||
URI: | http://epubs.surrey.ac.uk/id/eprint/840425 |
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