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We construct a family of non-weight modules which are free $U (𝔥)$ -modules of rank 2 over the $N = 1$ super Schrödinger algebra in $(1 + 1)$ -dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free $U (𝔥)$ -modules of rank 2 over $𝔬𝔰𝔭 (1 | 2)$ are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.

Number of “ $u d u$ ”s of a Dyck path and $a d$ -nilpotent ideals of parabolic subalgebras of ${sl}_{ℓ + 1} (C)$ .

Righi, Céline (2007)

Séminaire Lotharingien de Combinatoire [electronic only]

Displaying 1 – 6 of 6

Non completely solvable systems of complex first order PDEs

Non-holonomic modules over Weyl algebras and enveloping algebras.

Nonsplit extensions of modular Lie algebras of rank 2.

Nonsymmetric Koornwinder polynomials and duality.

Non-weight modules over the super Schrödinger algebra

Number of “ u d u ”s of a Dyck path and a d -nilpotent ideals of parabolic subalgebras of sl ℓ + 1 ( C ) .

Currently displaying 1 – 6 of 6

Number of “ $u d u$ ”s of a Dyck path and $a d$ -nilpotent ideals of parabolic subalgebras of ${sl}_{ℓ + 1} (C)$ .