We introduce notions of Jordan᎐Lie super algebras and Jordan᎐Lie triple systems as well as doubly graded Lie-super algebras. They are intimately related to both Lie and Jordan super algebras as well as antiassociative algebra.
Cohomology of Dowling Lattices and Lie (Super)Algebras
✍ Scribed by Eric Gottlieb; Michelle L. Wachs
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 245 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0196-8858
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✦ Synopsis
We extend a well-known relationship between the representation of the symmetric group on the homology of the partition lattice and the free Lie algebra to Dowling lattices.
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