On Higher Frobenius-Schur Indicators

Yevdenia Kashina, Yorck Sommerhauser, Yongchang Zhu (Autoren)

Buch | Softcover

65 Seiten

2006 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-3886-0 (ISBN)

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Studies the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relates them to other invariants as the exponent, the order, and the index. This title intends to prove various divisibility and integrality results for these invariants as well as a version of Cauchy's theorem for semisimple Hopf algebras.

We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory.

Introduction The calculus of Sweedler powers Frobenius-Schur indicators The exponent The order The index The Drinfel'd double Examples Bibliography Subject index Symbol index.

Erscheint lt. Verlag	1.5.2006
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	170 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-8218-3886-5 / 0821838865
ISBN-13	978-0-8218-3886-0 / 9780821838860
Zustand	Neuware