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The Steenrod Algebra and Other Copolynomial Hopf Algebras
Author(s) -
Crossley M. D.
Publication year - 2000
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609300007128
Subject(s) - steenrod algebra , mathematics , hopf algebra , representation theory of hopf algebras , algebra over a field , division algebra , quasitriangular hopf algebra , pure mathematics , mathematics subject classification , polynomial , cellular algebra , filtered algebra , quantum group , algebra representation , mathematical analysis
We say that a Hopf algebra is copolynomial if its dual is polynomial as an algebra. We re‐derive Milnor's result that the mod 2 Steenrod algebra is copolynomial by means of a more general result that is also applicable to a number of other related Hopf algebras. 1991 Mathematics Subject Classification 55S10, 16W30.