Modulated Quivers, Semi-invariant Pictures and Picture Groups

Häftad, Engelska, 2026

Del i serien London Mathematical Society Lecture Note Series

804 kr

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This book presents an accessible approach to an emerging theory of picture groups. Intended for graduate students and researchers, it explains the connections between several branches of algebra and topology, and demonstrates how they interact. It begins with foundational material on modulated quivers and their representations, cluster categories, and semi-invariants. The text then develops virtual analogues of classical results, allowing dimension vectors with negative coordinates. Finally, it defines the notion of a picture group associated to a semi-invariant picture, also introducing picture spaces which are CW-complexes constructed from semi-invariant pictures. For quivers of type $A_n$ the key theorem draws on K-theory and states that the associated picture space is a $K(G(A_n) , 1)$ connected CW-complex for the corresponding group $G(A_n)$ associated with the same quiver.

Produktinformation

Utgivningsdatum:2026-12-31
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:171
Förlag:Cambridge University Press
ISBN:9781009837118

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

Mer om författaren

Kiyoshi Igusa is Professor in the Department of Mathematics at Brandeis University. Kent Orr is Professor in the Department of Mathematics at Indiana University Bloomington. Gordana Todorov is Professor in Department of Mathematics at Northeastern University. Jerzy Weyman is Professor in the Department of Mathematics at Jagiellonian University.

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Innehållsförteckning

Introduction; 1. Foundational material; 2. Semi-invariants; 3. Picture groups; 4. Cluster morphism category; 5. Combinatorial models; Bibliography; Alphabetical index.

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Modulated Quivers, Semi-invariant Pictures and Picture Groups

AvKiyoshi Igusa,Kent Orr

Häftad, Engelska, 2026

Del i serien London Mathematical Society Lecture Note Series

804 kr

Kommande

Beskrivning

Produktinformation

Utgivningsdatum:2026-12-31
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:171
Förlag:Cambridge University Press
ISBN:9781009837118

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

Mer om författaren

Recensioner i media

Select Guide Rating

Innehållsförteckning

Introduction; 1. Foundational material; 2. Semi-invariants; 3. Picture groups; 4. Cluster morphism category; 5. Combinatorial models; Bibliography; Alphabetical index.