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Quantum supergroups VI. Roots of $1$
A quantum covering group is an algebra with parameters $q$ and $\pi$ subject to $\pi^2=1$ and it admits an integral form; it specializes to the usual quantum group at $\pi=1$ and to a quantumExpand
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Quantum symmetric pairs at roots of $1$.
A quantum symmetric pair is a quantization of the symmetric pair of universal enveloping algebras. Recent development suggests that most of the theory for quantum groups can be generalised to theExpand
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Homomorphisms between Verma modules of simple Lie superalgebras
For certain positive even roots $\gamma$ of a simple Lie superalgebra of type BDFG, we prove the existence of a nonzero homomorphism between Verma modules $M(s_{\gamma}\lambda) \rightarrowExpand
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Singular vector formulas for Verma modules of simple Lie superalgebras
Abstract For a simple Lie superalgebra of type BDFG, we give explicit formulas for singular vectors in a Verma module of highest weight λ − ρ , which have weight s γ λ − ρ for certain positiveExpand
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