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Finite irreducible conformal modules over the Lie conformal superalgebra [formula omitted].
- Source :
-
Journal of Geometry & Physics . Aug2021, Vol. 166, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- In the present paper, we introduce a class of infinite Lie conformal superalgebras S (p) , which are closely related to Lie conformal algebras of extended Block type defined in [6]. Then all finite non-trivial irreducible conformal modules over S (p) for p ∈ C ⁎ are completely classified. As an application, we also present the classifications of finite non-trivial irreducible conformal modules over finite quotient algebras s (n) for n ≥ 1 and sh which is isomorphic to a subalgebra of Lie conformal algebra of N = 2 superconformal algebra. Moreover, as a generalized version of S (p) , the infinite Lie conformal superalgebras GS (p) are constructed, which have a subalgebra isomorphic to the finite Lie conformal algebra of N = 2 superconformal algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE superalgebras
*SUPERALGEBRAS
*LIE algebras
*FINITE, The
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 166
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 150696732
- Full Text :
- https://doi.org/10.1016/j.geomphys.2021.104256