A realisation of the quantum supergroup U(gl(m vertical bar n))

作者：Du, Jie; Gu, Haixia^*

来源：Journal of Algebra, 2014, 404: 60-99.

DOI：10.1016/j.jalgebra.2013.12.034

• Quantum supergroup
• Quantum superalgebra
• Tensor superspace
• q-Schur superalgebra
• Hecke algebra
• Schur-Weyl reciprocity

We reconstruct the quantum enveloping superalgebra U(gl(m|n)) over Q(v) via (finite dimensional) quantum Schur superalgebras. In particular, we obtain a new basis containing the standard generators for U(gl(m|n)) and explicit multiplication formulas of an arbitrary basis element by a generator.

• 出版日期2014-2-15
• 单位华东师范大学