Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One

We investigate projective modules of the reduced enveloping superalgebra U χ ( g ) of the Lie superalgebra g of Witt type with p -character χ of height at most one. We give a formula for the Cartan invariants of U χ ( g ) which implies that U χ ( g ) has only one block.

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Bibliographic Details
Published inAlgebras and representation theory Vol. 24; no. 1; pp. 287 - 315
Main Authors Duan, Feifei, Xie, Xun
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.02.2021
Springer Nature B.V
Subjects
Associative Rings and Algebras
Commutative Rings and Algebras
Invariants
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
Primary 17B10
Witt Lie superalgebra
Cartan invariant
17B70
Reduced enveloping superalgebra
17B50; Secondary 17B66
Modular representation
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Summary:We investigate projective modules of the reduced enveloping superalgebra U χ ( g ) of the Lie superalgebra g of Witt type with p -character χ of height at most one. We give a formula for the Cartan invariants of U χ ( g ) which implies that U χ ( g ) has only one block.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-020-09947-z