Exterior powers of the standard E 6 -module: An elementary approach

A. M. Semenov; A. N. Zubkov

doi:10.1142/S0218196720500332

Exterior powers of the standard E 6 -module: An elementary approach

A. M. Semenov, A. N. Zubkov

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

Abstract

For the standard 27-dimensional representation V of the exceptional group G of type E6 we prove that (SL(V),G) is a Donkin pair if and only if the characteristic of a ground field is greater than 13. We also develop an elementary approach to describe submodule structure of any exterior power of V.

Original language	English
Pages (from-to)	1097-1128
Number of pages	32
Journal	International Journal of Algebra and Computation
Volume	30
Issue number	5
DOIs	https://doi.org/10.1142/S0218196720500332
Publication status	Published - Aug 1 2020
Externally published	Yes

Keywords

Algebraic groups
Donkin pair
invariant theory
tilting module

ASJC Scopus subject areas

General Mathematics

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10.1142/S0218196720500332

Cite this

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abstract = "For the standard 27-dimensional representation V of the exceptional group G of type E6 we prove that (SL(V),G) is a Donkin pair if and only if the characteristic of a ground field is greater than 13. We also develop an elementary approach to describe submodule structure of any exterior power of V.",

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AU - Zubkov, A. N.

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N2 - For the standard 27-dimensional representation V of the exceptional group G of type E6 we prove that (SL(V),G) is a Donkin pair if and only if the characteristic of a ground field is greater than 13. We also develop an elementary approach to describe submodule structure of any exterior power of V.

AB - For the standard 27-dimensional representation V of the exceptional group G of type E6 we prove that (SL(V),G) is a Donkin pair if and only if the characteristic of a ground field is greater than 13. We also develop an elementary approach to describe submodule structure of any exterior power of V.

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KW - Donkin pair

KW - invariant theory

KW - tilting module

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ER -

Exterior powers of the standard E 6 -module: An elementary approach

Abstract

Keywords

ASJC Scopus subject areas

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