Apartments and the cayley-algebra module for g2(k)

Yoav Segev; Stephen D. Smith

doi:10.1080/00927878608823321

Apartments and the cayley-algebra module for g₂(k)

Yoav Segev, Stephen D. Smith

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

6 Scopus citations

Abstract

The 7-dimensional Cayley-algebra module for the group G₂(k) over a field k has a presentation by 1-subspaces corresponding to the points of the associated hexagon, subject to relations determined by the lines, and one further relation on the neighbors of a point. The proof is geometric, based on spanning by apartments of the building.

Original language	English
Pages (from-to)	493-506
Number of pages	14
Journal	Communications in Algebra
Volume	14
Issue number	3
DOIs	https://doi.org/10.1080/00927878608823321
State	Published - 1 Jan 1986
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927878608823321

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title = "Apartments and the cayley-algebra module for g2(k)",

abstract = "The 7-dimensional Cayley-algebra module for the group G2(k) over a field k has a presentation by 1-subspaces corresponding to the points of the associated hexagon, subject to relations determined by the lines, and one further relation on the neighbors of a point. The proof is geometric, based on spanning by apartments of the building.",

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AB - The 7-dimensional Cayley-algebra module for the group G2(k) over a field k has a presentation by 1-subspaces corresponding to the points of the associated hexagon, subject to relations determined by the lines, and one further relation on the neighbors of a point. The proof is geometric, based on spanning by apartments of the building.

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Apartments and the cayley-algebra module for g₂(k)

Abstract

ASJC Scopus subject areas

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