Publicacions Matemàtiques

Fine Gradings on $\mathfrak e_6$

Cristina Draper and Antonio Viruel

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Abstract

There are fourteen fine gradings on the exceptional Lie algebra $\mathfrak e_6$ over an algebraically closed field of zero characteristic. We provide their descriptions and a proof that any fine grading is equivalent to one of them.

Article information

Source
Publ. Mat. Volume 60, Number 1 (2016), 113-170.

Dates
First available in Project Euclid: 22 December 2015

Permanent link to this document
https://projecteuclid.org/euclid.pm/1450818485

Mathematical Reviews number (MathSciNet)
MR3447736

Zentralblatt MATH identifier
06550111

Subjects
Primary: 17B25: Exceptional (super)algebras 17B70: Graded Lie (super)algebras

Keywords
Graded algebra exceptional Lie algebra maximal abelian diagonalizable group

Citation

Draper, Cristina; Viruel, Antonio. Fine Gradings on $\mathfrak e_6$. Publ. Mat. 60 (2016), no. 1, 113--170.https://projecteuclid.org/euclid.pm/1450818485


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