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A Hopf Algebra Structure on Rational Functions

✍ Scribed by L. Verdestar

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 303 KB
Volume: 116
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1995.1072

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✦ Synopsis

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 of the classic polynomial Hopr algebra as a Hopr algebra of proper rational functions. " 1995 Academic Press. Inc

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