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A Hopf structure for down-up algebras

โœ Scribed by Georgia Benkart; Sarah Witherspoon

Book ID
105875844
Publisher
Springer-Verlag
Year
2001
Tongue
French
Weight
290 KB
Volume
238
Category
Article
ISSN
0025-5874

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We consider an indefinite inner product on the algebra of rational functions over the complex numbers, and we obtain a coproduct, which is dual of the usual multiplication, that gives a structure of infinitesimal coalgebra on the rational functions. We also obtain a representation of the finite dual