TY - JOUR
T1 - Extensions of modules over supercurrent conformal algebras
AU - Lam, Ngau
N1 - Funding Information:
Partially supported by NSC grant 89-2115-M-006-002 of R.O.C.
PY - 2001
Y1 - 2001
N2 - In the papers [2] and [3], Cheng, Kac and Wakimoto classify extensions between finite conformal modules over the Virasoro, the Neveu-Schwarz, the current and the semidirect sum of the Virasoro and the current conformal algebras. In this paper, we continue their program and classify extensions between two finite irreducible modules over the supercurrent conformal algebras. The method here as in [3] is based on the theory of conformal modules [1] and the techniques developed in [2].
AB - In the papers [2] and [3], Cheng, Kac and Wakimoto classify extensions between finite conformal modules over the Virasoro, the Neveu-Schwarz, the current and the semidirect sum of the Virasoro and the current conformal algebras. In this paper, we continue their program and classify extensions between two finite irreducible modules over the supercurrent conformal algebras. The method here as in [3] is based on the theory of conformal modules [1] and the techniques developed in [2].
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U2 - 10.1081/AGB-5006
DO - 10.1081/AGB-5006
M3 - Article
AN - SCOPUS:0035535758
SN - 0092-7872
VL - 29
SP - 3061
EP - 3068
JO - Communications in Algebra
JF - Communications in Algebra
IS - 7
ER -