New reflection matrices for the U_q(gl(m|n)) case
Anastasia Doikou, Nikos Karaiskos
TL;DR
This paper introduces new non-diagonal reflection matrices for the super algebra U_q(gl(m|n)) by exploring super symmetric representations of the B-type Hecke algebra, advancing understanding of boundary super algebras.
Contribution
It provides novel solutions to the reflection equation for U_q(gl(m|n)) using super symmetric representations, expanding the set of known reflection matrices.
Findings
Derived new non-diagonal solutions to the reflection equation
Linked boundary super algebra to super symmetric B-type Hecke algebra
Enhanced understanding of super algebra boundary conditions
Abstract
We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra
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