D. Algethami

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20232026

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math.QA2026

Electrical quantum groups

D. Algethami, A. Mudrov, V. Stukopin

We give a construction of electrical quantum group and its superpartner as coideal subalgebras in $U_{q} (gl (N))$ and, respectively, in $U_{q}^{u} (gl (1∣ N - 1))$ , where…

math.QA2026

Graded twisted reflection matrices of GL-type

D. Algethami, A. Mudrov

We classify constant numerical solutions of the $Z_{2}$ -graded twisted reflection equation for the fundamental $G L$ -type R-matrix and an arbitrary parity sequence, without assuming…

math.QA2026

Graded Satake diagrams and super-symmetric pairs

D. Algethami, A. Mudrov, V. Stukopin

We list classical spherical subalgebras in basic matrix Lie superalgebras which are quantizable to coideal subalgebras in the standard quantum supergroups, for any choice of Borel…