Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras

Abstract

We show that there exists a unique crystal base of a parabolic Verma module over a quantum orthosymplectic superalgebra, which is induced from a $q$-analogue of a polynomial representation of a general linear Lie superalgebra.

43 pages

References in corpus (2)

• Howe duality and Kostant Homology Formula for infinite-dimensional Lie superalgebras
• Crystal base of the negative half of the quantum superalgebra $U_q(\mathfrak{gl}(m|n))$