Homology of the complexes of finite Verma modules over $CK_6$

Lucia Bagnoli

doi:10.1016/j.jalgebra.2023.11.016

paper

Homology of the complexes of finite Verma modules over $C K_{6}$

arXiv:2212.06698 · doi:10.1016/j.jalgebra.2023.11.016

Abstract

We compute the homology of the first and third quadrants of the complexes of finite Verma modules over the annihilation superalgebra $A (C K_{6}) ≅ E (1, 6)$ , associated with the conformal superalgebra $C K_{6}$ , obtained in \cite{ck6}. This computation allows us to explicitly realize the irreducible quotients of degenerate finite Verma modules over $A (C K_{6})$ .

arXiv comment37 pages. arXiv admin note: text overlap with arXiv:2108.00458

Homology of the complexes of finite Verma modules over CK6​

Abstract

Homology of the complexes of finite Verma modules over $C K_{6}$