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nlin.SI2021
Algebraic Bethe Ansatz for spinor R-matrices
Vidas Regelskis
We present a supermatrix realisation of q-deformed spinor-spinor and spinor-vector R-matrices. These R-matrices are then used to construct transfer matrices for $U_{q^2}(\mathfrak{…
math.RT2021
Pseudo-symmetric pairs for Kac-Moody algebras
Vidas Regelskis, Bart Vlaar
Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are well-studied in the context of symmetrizable…