Support varieties of semisimple-character representations for Cartan type Lie algebras

Yufeng Yao; Bin Shu

doi:10.1007/s11464-011-0133-x

Support varieties of semisimple-character representations for Cartan type Lie algebras

Yufeng Yao^*
, Bin Shu

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Maritime University

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

1 Scopus citations

Abstract

In this paper, we study the support varieties for Lie algebras L of Cartan type. We give some description for the support varieties of any finitedimensional L-module with character χ, whenever the height of the character χ is not too large. And a more concrete computation can be made for a class of modules with semisimple characters.

Original language	English
Pages (from-to)	775-788
Number of pages	14
Journal	Frontiers of Mathematics in China
Volume	6
Issue number	4
DOIs	https://doi.org/10.1007/s11464-011-0133-x
State	Published - Aug 2011

Keywords

Lie algebra of Cartan type
exceptional module
generalized restricted Lie algebra
semisimple character
support variety

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10.1007/s11464-011-0133-x

Cite this

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title = "Support varieties of semisimple-character representations for Cartan type Lie algebras",

abstract = "In this paper, we study the support varieties for Lie algebras L of Cartan type. We give some description for the support varieties of any finitedimensional L-module with character χ, whenever the height of the character χ is not too large. And a more concrete computation can be made for a class of modules with semisimple characters.",

keywords = "Lie algebra of Cartan type, exceptional module, generalized restricted Lie algebra, semisimple character, support variety",

author = "Yufeng Yao and Bin Shu",

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AU - Shu, Bin

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AB - In this paper, we study the support varieties for Lie algebras L of Cartan type. We give some description for the support varieties of any finitedimensional L-module with character χ, whenever the height of the character χ is not too large. And a more concrete computation can be made for a class of modules with semisimple characters.

KW - Lie algebra of Cartan type

KW - exceptional module

KW - generalized restricted Lie algebra

KW - semisimple character

KW - support variety

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DO - 10.1007/s11464-011-0133-x

M3 - 文章

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SN - 1673-3452

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IS - 4

ER -

Support varieties of semisimple-character representations for Cartan type Lie algebras

Abstract

Keywords

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