Kirillov, Alexander A., (1967-)
Overview
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Titles
Quiver representations and quiver varieties /
by:
Kirillov, Alexander A., (1967-)
(Electronic resources)
Subjects
Directed graphs.
Graph theory.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights).
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems.
Representations of graphs.
Algebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory).
Associative rings and algebras -- Representation theory of rings and algebras -- Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers.
Associative rings and algebras -- Representation theory of rings and algebras -- Representation type (finite, tame, wild, etc.).
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras.
Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes).
Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets.