Bulletin of the Belgian Mathematical Society - Simon Stevin

The Cartan Product

Michael Eastwood

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Abstract

The Cartan product is a generalization of the symmetric product of two vectors. We review its definition, present some examples, and exhibit its rôle in the construction of various natural algebras.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin Volume 11, Number 5 (2005), 641-651.

Dates
First available in Project Euclid: 7 March 2005

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1110205624

Mathematical Reviews number (MathSciNet)
MR2130630

Zentralblatt MATH identifier
1064.17002

Subjects
Primary: 17B10: Representations, algebraic theory (weights) 15A69: Multilinear algebra, tensor products

Keywords
Lie group representation highest weight

Citation

Eastwood, Michael. The Cartan Product. Bull. Belg. Math. Soc. Simon Stevin 11 (2005), no. 5, 641--651. https://projecteuclid.org/euclid.bbms/1110205624.


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