An alternative approach to the Adem relations in the mod 2 Steenrod algebra
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific Technical Research Council Turkey-Tubitak
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Leibniz-Hopf algebra F is the free associative algebra over Z on one generator S-n in each degree n > 0, with coproduct given by Delta(S-n) = Sigma(i+j=n) S-i circle times S-j. We introduce a new perspective on the Adem relations in the mod 2 Steenrod algebra A(2) by studying the map pi* dual to the Hopf algebra epimorphism pi : F circle times Z/2 -> A(2). We also express Milnor's Hopf algebra conjugation formula in A(2)* in a different form and give a new approach for the conjugation invariant problem in A(2)*.
Açıklama
Anahtar Kelimeler
Adem relations, Hopf algebra, Leibniz-Hopf algebra, antipode, Steenrod algebra, quasisymmetric functions
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
38
Sayı
5
