Triality : Vector Space, Mathematics, Duality (Mathematics), Dual Vector Space, Double Covering Group
Language: English
Published by Omniscriptum, 2026
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 46.44
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, triality is a relationship between three vector spaces, analogous to the duality relation between dual vector spaces. Most commonly, it describes those special features of the group Spin(8), the double cover of 8-dimensional rotation group SO(8), arising because the group has an outer automorphism of order three. There is a geometrical version of triality, analogous to duality in projective geometry. Of all simple Lie groups, Spin(8) has the most symmetrical Dynkin diagram. The diagram has four nodes with one node located at the center, and the other three attached symmetrically. The symmetry group of the diagram is the symmetric group S3 which acts by permuting the three legs. This gives rise to an S3 group of outer automorphisms of Spin(8). This automorphism group permutes the three 8-dimensional irreducible representations of Spin(8); these being the vector representation and two chiral spin representations.…
Seller Inventory # 9786131140044
Bibliographic details
- Title
- Triality : Vector Space, Mathematics, Duality (Mathematics), Dual Vector Space, Double Covering Group
- Author
- Miriam T. Timpledon
- Publisher
- Omniscriptum
- Publication year
- 2026
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 6131140049
- ISBN 13
- 9786131140044
- Item weight
- 209 grams
- Dimensions
- 220x150x8 mm
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| Item | 7 to 10 business days | 5 to 7 business days |
|---|---|---|
| First item | £ 29.62 | £ 38.08 |
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