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Topics in hyperplane arrangements

Title
Topics in hyperplane arrangements / [electronic resource] Marcelo Aguiar, Swapneel Mahajan.
ISBN
9781470442545 (online)
Publication
Providence, Rhode Island : American Mathematical Society, [2017]
Physical Description
1 online resource (xxiv, 611 pages : illustrations)
Local Notes
Access is available to the Yale community.
Notes
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2017
Description based on print version record.
Access and use
Access restricted by licensing agreement.
Variant and related titles
American mathematical society.
Mathematical surveys and monographs.
Other formats
Print version: Aguiar, Marcelo, 1968- Topics in hyperplane arrangements /
Format
Books / Online
Language
English
Added to Catalog
February 11, 2020
Series
Mathematical Surveys and Monographs, v. 226
Bibliography
Includes bibliographical references (pages 579-595) and index.
Contents
Hyperplane arrangements Cones Lunes Category of lunes Reflection arrangements Braid arrangement and related examples Descent and lune equations Distance functions and Varchenko matrix Birkhoff algebra and Tits algebra Lie and Zie elements Eulerian idempotents Diagonalizability and characteristic elements Loewy series and Peirce decompositions Dynkin idempotents Incidence algebras Invariant Birkhoff algebra and invariant Tits algebra Regular cell complexes Posets Incidence algebras of posets Algebras and modules Bands
Subjects
Incidence algebras.
Algebraic spaces.
Hyperspace.
Geometry, Plane.
Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theory.
Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets.
Order, lattices, ordered algebraic structures -- Ordered sets -- Algebraic aspects of posets.
Order, lattices, ordered algebraic structures -- Modular lattices, complemented lattices -- Semimodular lattices, geometric lattices.
Associative rings and algebras -- Representation theory of rings and algebras -- Representations of Artinian rings.
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Identities, free Lie (super)algebras.
Group theory and generalizations -- Special aspects of infinite or finite groups -- Reflection and Coxeter groups.
Group theory and generalizations -- Semigroups -- General structure theory.
Group theory and generalizations -- Semigroups -- Semigroup rings, multiplicative semigroups of rings.
Convex and discrete geometry -- Discrete geometry -- Arrangements of points, flats, hyperplanes.
Combinatorics -- Enumerative combinatorics -- Partitions of sets.
Combinatorics -- Enumerative combinatorics -- $q$-calculus and related topics.
Combinatorics -- Graph theory -- Graphs and abstract algebra (groups, rings, fields, etc.).
Combinatorics -- Algebraic combinatorics -- Symmetric functions and generalizations.
Combinatorics -- Algebraic combinatorics -- Group actions on combinatorial structures.
Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of simplicial complexes.
Category theory; homological algebra -- Categories with structure -- Operads.
Category theory; homological algebra -- Homological algebra -- Chain complexes.
Group theory and generalizations -- Permutation groups -- Symmetric groups.
Citation

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