New Examples of Frobenius Extensions

· University Lecture Series Книга 14 · American Mathematical Soc.
ЭлСктронная ΠΊΠ½ΠΈΠ³Π°
84
ΠšΠΎΠ»ΠΈΡ‡Π΅ΡΡ‚Π²ΠΎ страниц
ΠžΡ†Π΅Π½ΠΊΠΈ ΠΈ ΠΎΡ‚Π·Ρ‹Π²Ρ‹ Π½Π΅ ΠΏΡ€ΠΎΠ²Π΅Ρ€Π΅Π½Ρ‹. ΠŸΠΎΠ΄Ρ€ΠΎΠ±Π½Π΅Π΅β€¦

Об элСктронной ΠΊΠ½ΠΈΠ³Π΅

This volume is based on the author's lecture courses to algebraists at Munich and at Goteborg. He presents, for the first time in book form, a unified approach from the point of view of Frobenius algebras/extensions to diverse topics, such as Jones' subfactor theory, Hopf algebras and Hopf subalgebras, the Yang-Baxter Equation and 2-dimensional topological quantum field theories. Other Features: Initial steps toward a theory of non commutative ring extensions; Self-contained sections on Azumaya algebras and strongly separable algebras; Applications and generalizations of Morita theory and Azumaya algebra due to Hirata and Sugano; and, Understanding the text requires no prior background in Frobenius algebras or Hopf algebras. An index and a thorough list of further references are included. There is an appendix giving a brief historical guide to the literature.

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