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

Feifei Duan; Xun Xie

doi:10.1007/s10468-020-09947-z

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

Feifei Duan, Xun Xie^*

^*Corresponding author for this work

School of Mathematics and Statistics

Hebei Normal University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	287-315
Number of pages	29
Journal	Algebras and Representation Theory
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s10468-020-09947-z
Publication status	Published - Feb 2021

Keywords

Cartan invariant
Modular representation
Reduced enveloping superalgebra
Witt Lie superalgebra

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title = "Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One",

abstract = "We investigate projective modules of the reduced enveloping superalgebra Uχ(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 Uχ(g) which implies that Uχ(g) has only one block.",

keywords = "Cartan invariant, Modular representation, Reduced enveloping superalgebra, Witt Lie superalgebra",

author = "Feifei Duan and Xun Xie",

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year = "2021",

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N2 - We investigate projective modules of the reduced enveloping superalgebra Uχ(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 Uχ(g) which implies that Uχ(g) has only one block.

AB - We investigate projective modules of the reduced enveloping superalgebra Uχ(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 Uχ(g) which implies that Uχ(g) has only one block.

KW - Cartan invariant

KW - Modular representation

KW - Reduced enveloping superalgebra

KW - Witt Lie superalgebra

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DO - 10.1007/s10468-020-09947-z

M3 - Article

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JO - Algebras and Representation Theory

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ER -

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

Abstract

Keywords

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